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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072
© 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1154
INVESTIGATION EFFECTS OF BACKWARD AND FORWARD BLADE
SKEW MODES APPLIED TO AXIAL FLOW TURBO MACHINERY
ADEL.M.AL. JAMOM1
Institute of Science and Technology-Zawiya-Libya
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - Since the three-dimensional(3D)Computational
fluid dynamic (CFD) flow field investigationtechniques, aswell
as advanced flow measurement tools, give potential topredict
effects related to blade skew to consider them in blade design.
Through the use of CFD tools and the analysis ofexperimental
data that has been published in the literature, the effects of
skew applied to the rotor of axial flow turbo engines were
examined in this work. Low-aspect-ratio rotors with forward
and backward skew have been investigated, and their
performance has been compared to that of un-skew datum
rotors at various flow rates, span wise positions, and overall
efficiency. In this work, the blade sections are swept forward
and backward with 3.5 degree and 2.082 degree for dihedral
as comparison with data in research and development (R&D)
in the field of axial flow turbo machinery (such as fan,
compressor, pump) at nowadays. It is focuses on isolated
rotors of fluid transporting machines to improve the rotor
performance characteristics via thebeneficial modificationon
blade aerodynamics, by means of appropriate modification of
blade geometry. Nowadays, the enhanced computational
resources allow the designer to realize blade design concepts
being more sophisticated and complicated than the “classic”
designs, e.g. incorporating blade sweep with aid of
Computational Fluid Dynamics (CFD) simulations. Three-
dimensional (3D) CFD flow field investigation techniques, as
well as advanced flow measurement tools, give potential to
predict effects related to blade sweep and skew to consider
them in blade design. It was noted that FSK provides a greater
efficiency up to 75% of the blade span at the design point,
demonstrating the advantages ofFSKrotorsoverotherrotors.
Near the tip and at smaller radii, the forward-skewed blade
increased and decreased inlet axial velocities, respectively..
Due to the small skew angles, the three rotors nearly have
similar outlet axial velocities performance. The axial velocity
also increases along the dominant part of the span.
At the design flow rate, the forwardskewconsiderablyreduces
the radically outward flow along the span andmostlynear the
tip.
Key Words: axial flow rotors, backward skew, forward
skew, controlled vortex design.
1.INTRODUCTION
Axial flow fans are frequently used in engineering and
industrial settings. Many researches were carried out for
improving the efficiencies by modifying certain geometric
features, such as imparting blade sweep and/or skew for
development of aerodynamic optimum shape of turbo
machinery balding. Computational fluid dynamic (CFD) and
numerical simulation have been widely applied in
optimization design of fan blades. Up-to-date CFD techniques
are available for the reliable predictionof3Dturbo machinery
flow. Since measurements are expensive, time-consuming and
strongly limited from the viewpoint of airfoil variations under
investigation, it is beneficial to use CFD tool, which simulates
the flow past the cascade of airfoils in a realistic manner. By
doing so, it is possible to assess the effects of airfoil shape
adjustments on the flow field quickly and more effectively
determine the best practices for aerodynamic optimization. It
appears to be beneficial to supplement these techniques with
analytical models for exploring the underlying physics of 3D
flow effects. By using computational fluid dynamic (CFD)
techniques and processing experimental data that has been
published in the literature, the study aims to evaluate the
impact of skew applied to the rotor of axialflowturboengines.
At various span-wise positions, low-aspect-ratio rotors with
forward and backward skew have been explored and
contrasted with unskew datum rotors.. Comparative studies
have been carried out on these three rotors at the design flow
rates by means of developing structured fully hexahedral
mesh of the entire computational domain. The efficiency as
well as the losses will be detected on all type of rotors along
the span. In order to obtain information on the inter blade
flow details, a CFD technique has been developed, using the
finite-volume code FLUENT [1]. Using some data obtained for
circumferential forward-skewed (FSK) of work of [2], the CFD
tool was enabling us to use fixed blade chord along the span
for BSK, FSK and USK rotors.
2-STRUCTURED GRIDS USED FOR USK, FSK AND
BSK ROTORS
The flow fields inBSK,FSKandUSKrotorsweresimulated
by means of the same CFD codes. The computation domain
for BSK, FSK and USK rotors has been regarded one blade
pitch only. Typical computational domains for USK rotor are
presented in Figure1.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072
© 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1155
Fig-1: Computational domain for USk rotor
The inlet face is a sector of the circular duct with 30 deg
central angle. Downstream of the inlet face, sectors of the
steady inlet cone and the rotating hub with one blade in the
middle of the domain are included for both types of blading.
At the inlet face, a swirl-free uniform axial inlet condition
corresponding to the actual flow rate has been prescribed.
The casing diameter was used as the hydraulic diameter to
calculate the turbulence length scale, with the inlet
turbulence intensity set to 1 percent. The rotor's meshing
features are shown in Figure 2. At the outlet boundary
(outflow condition in FLUENT), all flow variables have been
subjected to a zero diffusion flux condition [1].
Fig-2: Meshing details for USK rotor
The equiangular skewness of a cell is defined as the
maximum value of the ratio of actual and possibly highest
deviation from the optimum angle, considering each vertex
[1]. Decreasing of equiangular skewness was achieved in
structured grid. The grid design ensures that 99 % of the
cells have equiangular skewness less than 0.6, and the
maximum skewness value is 0.71. As the figure suggests, the
highest skewness values appear near the LE and TE.Overthe
dominant part of the SS and PS, the skewness is less than
0.35. Figure 3(b) shows the skewness values of the near-
blade cells for USK along the axial chord, with zero axial
position at the LE at mid span.
Table -1: Skewness Value
From above, by evaluating the results of figure (3.a) the
value of the skewness is about 0.29 which is good according
to table1.
(a)
(b) Blade
(c) Domain
Fig-3: Distribution of cell equiangular skew
3. Program structure
FLUENT package includes the following products:
• GAMBIT (re-processor): for geometry modeling and mesh
generation.
• FLUENT (post-processor)[1].
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072
© 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1156
4. Boundary Conditions
1-The inlet boundary condition issetasavelocityinletwhere
the velocity value is 9.2 [m/s] design flow rate . The flow
direction is parallel to the rotational axis, which means the
direction of x.
2- The blade, hub and outer case have been defined as wall,
which does not let through the flow and create the boundary
layers around them.
3- Outflow is used for the condition of outlet boundary.
4- the remaining part of the domain is set as default interior
and the fluid boundary condition is applied for this domain
where the air density is constant with the value ofρair =1.225
[kg /m3]
5- All the sidesurfaces ofthedomainaredefinedasrotational
periodic.
5. COMPARATIVE CFD STUDIES ON BSK, FSK AND
USK AT ROTORS AT THE DESIGN FLOW RATE
The axial fan is used as the research target, and the
computational fluid dynamics method is usedtosimulatethe
three-dimensional flow of the axial fan. First, the modelingof
an axial fan is introduced. The inlet (1) and outlet (2) planes
have the axial position of -20.0 and 113.0 percent mid-span
axial chord, respectively, where the zero axial position
indicates the LE at mid-span as shown in Figure 4.
Fig-4: USK Rotor with indication of planes 1 and 2
The relationship between the skew and un-skew parameters
blades and the total pressure and the efficiency of the axial
fan were investigated. After that, the qualitative comparison
between BSK, FSK and USK rotors at the design flow rate is
developed to solve the complex multi objective optimization
problem where the total pressure and the efficiency of the
axial fan are the optimization objectives. Finally, some
conclusions are presented. The characteristicsandefficiency
curves, the computational mesh and boundary conditions of
the axial fan are presented in the following sections.
5. RESULTS AND DISCUSSIONS
5.1. Inlet axial velocity coefficient
Compare with other contributions, the inlet flow field has-
been investigated for USK, FSK and BSK. The near-tip part of
the forward-skewed blade protrudes into the upstream
relative flow field, and carries out workinadvancecompared
to the blade sections at lower radii. This is suggested also by
the generally increased axial velocity near the FSK LE as
explained by Figure 5. This results in locally increased inlet
axial velocity near the tip, results in the reduction of inlet
axial velocity at lower radii of FSK. The same result was
suggested by [3]. The inlet axial velocity profile has been
found practically identical for the three rotors as shown in
Figure6. It seen that the near-tip part oftheforward-skewed
blade carries out work in advance compared to the blade
sections at lower radii. This increases inletaxialvelocitynear
the tip. Increase of inlet axial velocity near the tip results in
the reduction of inlet axial velocity at lower radii of FSK. The
applied blade FSK has an influence on the rotor inlet flow
field: the inlet axial velocity for FSK is increased at the mid
span especially at 70% span and is reduced at lower radii, as
was observed for FSK rotors also in [4] this effect can be
confirmed as a sort of sweep rather than dihedral.
TABEL - 2: Inlet flow readings
sigma INLET FLOW
0 Ҩ-FSK Ҩ-USK Ҩ-BSK
0.045455 0.275799 0.277612 0.277357
0.090909 0.30489 0.305663 0.306251
0.136364 0.31301 0.313279 0.314285
0.181818 0.318034 0.319277 0.319216
0.227273 0.323167 0.323294 0.324224
0.272727 0.326746 0.326904 0.327675
0.318182 0.330493 0.330157 0.33125
0.363636 0.333153 0.332637 0.333757
0.409091 0.335903 0.335024 0.336306
0.454545 0.337813 0.337055 0.338049
0.5 0.339675 0.338569 0.339713
0.545455 0.340866 0.339883 0.340745
0.590909 0.341847 0.340742 0.34153
0.636364 0.342315 0.341202 0.341837
0.681818 0.34241 0.341318 0.34176
0.727273 0.342166 0.341022 0.341382
0.772727 0.341395 0.34035 0.340458
0.818182 0.340445 0.338942 0.339394
0.863636 0.33844 0.336886 0.337261
0.909091 0.335014 0.333075 0.333736
0.954545 0.304674 0.310086 0.303106
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072
© 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1157
Fig-5: Span wise distributions of pitch-averaged of inlet
axial velocity coefficient at the design flow rate.
Fig-6: Distributions of pitch-averaged of inlet axial
velocity coefficient.
5.2.Outlet axial velocity coefficient
Figures 7 and 8 indicate that, the three rotors having nearly
similar axial velocities performance, this is may be possibly
due to the small skew angle. Due to the reduced size of the
stagnating zonenear the tip, the near-casinglayerofreduced
total pressure rise and axial velocity is slightly thinner in the
case of skew [5]. The axial velocity also increases along the
dominant part of the span as indicated by Figure 6. that, the
aerodynamicoptimizationdesignofforward-skewedbladeof
low-pressure axial flow fan indicate that the impeller with
forward-skewed blades would cause a span wise
redistribution of flow rate and pressure toward the blade
mid-span, as well as reduce tip loading as shown by [6].
Furthermore, the locus of maximum axial velocity is shifted
toward higher radii. This results in increased pitch wise area
averaged axial velocity near the tip of FSK and BSK as shown
in Figures 5.
TABEL - 3: Outlet flow readings
sigma Outlet Flow
0 Ҩ-FSK Ҩ-USK Ҩ-BSK
0.045455 0.23263 0.229338 0.235929
0.090909 0.272287 0.268923 0.273362
0.136364 0.289379 0.287064 0.290108
0.181818 0.299636 0.297879 0.299996
0.227273 0.310745 0.309278 0.31071
0.272727 0.320734 0.319477 0.320022
0.318182 0.3318 0.330611 0.33058
0.363636 0.341857 0.340806 0.339882
0.409091 0.35278 0.351673 0.350194
0.454545 0.362799 0.361666 0.359263
0.5 0.373713 0.372348 0.369325
0.545455 0.383766 0.382318 0.378232
0.590909 0.395135 0.393409 0.388456
0.636364 0.405894 0.403947 0.397793
0.681818 0.418851 0.415954 0.409248
0.727273 0.431101 0.426558 0.419892
0.772727 0.444234 0.437112 0.431608
0.818182 0.441205 0.437099 0.431412
0.863636 0.353942 0.368714 0.362796
0.909091 0.189944 0.204703 0.21357
0.954545 -0.00571 -0.00077 0.02304
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072
© 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1158
Fig- 7: Span wise distributions of pitch-averaged of the
outlet axial velocity coefficient at the design flow rate .
Fig- 8: distributions of the local axial velocity coefficient
at the outlet plan.
5.3.Total efficiency
The distributions of the local and pitch-averaged total
efficienciesare presented. Figures 9 and10indicatethatFSK
and BSK rotors operate at higher efficiency than USK. The
Local total efficiency has been defined as the ratio between
the local total pressure rise and the ideal local total pressure
rise. The latter was computed using the Euler equation of
turbo machines asa product ofdensity,bladecircumferential
velocity at the givenradius,andlocalabsolutetangentialfluid
velocity at the outlet. The higher efficiency of FSK occurs up
to 75% blade span which demonstrates the benefits of FSK
rotor. In the near-casing zone all rotors demonstrate the
same results.
TABEL – 4: Total efficiency readings
sigma Total efficiency
0 ɳ-FSK ɳ-USK ɳ-BSK
0.045455 0.60532 0.571362 0.577276
0.090909 0.735076 0.700468 0.714509
0.136364 0.781872 0.749622 0.764419
0.181818 0.796102 0.76681 0.780265
0.227273 0.806211 0.780468 0.792037
0.272727 0.813517 0.790853 0.800353
0.318182 0.82058 0.801125 0.808655
0.363636 0.82591 0.809075 0.814663
0.409091 0.831033 0.8167 0.820517
0.454545 0.834805 0.822322 0.824622
0.5 0.838337 0.827755 0.828579
0.545455 0.840955 0.831849 0.831273
0.590909 0.843652 0.836266 0.834129
0.636364 0.845955 0.839624 0.836411
0.681818 0.848055 0.842088 0.838781
0.727273 0.846295 0.840412 0.837992
0.772727 0.816425 0.82442 0.813843
0.818182 0.70612 0.758822 0.719623
0.863636 0.492751 0.53674 0.508108
0.909091 0.346111 0.347732 0.346223
0.954545 0.235359 0.228518 0.241963
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072
© 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1159
Fig- 9: span wise distribution of local total efficiency at
design flow rate.
Fig- 10: Span wise distributions of local total efficiency
at the design flow rate.
6.Conclusions
An axial fan rotor of Controlled Vortex Design, having
forward and backward skew has been subjected to CFD
investigation. It has been compared to an un-skewed datum
rotor at its design flow rate. The CFD studies were supported
by global performance measurements of literatures. The
results illustrated and summarized as follows:
1. The circumferentiallyforward-skewedbladetipcarriesout
work on the incoming fluid in advance compared with the
blade sections at lower radii. This results in increased and
decreased inlet axial velocities near the tipandatlowerradii,
respectively.
2- The three rotors having nearly similar outlet axial
velocities performance, this is may be possibly due to the
small skew angles. The axial velocityalso increases along the
dominant part of the span.
3- At the design flow rate, in the near-casing zone all rotors
demonstrate the about the same results of efficiency. The
higher efficiency of FSK occurs up to 75% blade span which
demonstrates the benefits of FSK rotor.
4- Due to forward skew, the isobars are inclined “more
forward” for FSK than for USK and BSK. The mechanism by
which forward skew attenuates the SS radial outward flow.
REFERENCES
[1] FLUENT (FLUENT 6.3.26, 2006) , Fluent Inc., Lebanon,
NH, USA.
[2] Vad , J., Kwedikha, A. R. A., Kristóf, G., Lohász, M. M.,
Rábai, G., Rácz, N. and Watanabe, K. , 2005, “Effects of
blade skew in an axial flow rotor of controlled vortex
design.” 6th European Conference on Turbomachinery
Fluid Dynamics and Thermodynamics,LilleProceedings
pp. 46-55.
[3] JVad ∗,ARAKwedikha, Cs Horváth, M Balczó, M M
Lohász,andT Réger (2009). Aerodynamic effects of
forward blade skew in axial flow rotors of controlled
vortex design - Proc. IMechE Vol. 221 Part A: J. Power
and Energy Ali R. A. Kwedikha, Aerodynamic effects of
blade sweep and skew applied to rotors of axial flow
turbomachinery -Budapest.
[4] Meixner, H. U.(1995),VergleichendeLDA-Messungenan
ungesichelten und gesichelten Axialventilatoren.
Dissertation Universität Karlsruhe, VDI-Verlag, Reih7:
Strömungstechnik, No. 266, Düsseldorf.
[5] Vad, J., Kwedikha, A. R. A., Horva´th, Cs., Balczo´, M.,
Loha´sz, M. M., and Re´gert, T.(2007). “Aerodynamic
effects of forward blade skew in axial flow rotors of
controlled vortex design”. Proc. IMechE, Part A: J. Power
and Energy,2007,221,1011-1023.
[6] Li Yang, OuyangHua, and Du Zhao-Hu . ( 2007).
Optimization Design and Experimental Study of Low-
Pressure Axial Fan with Forward-Skewed Blades –
Hindawi PublishingCorporationInternational Journal of
Rotating MachineryVolume 2007, Article ID
85275,10pages - doi:10.1155/85275.

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INVESTIGATION EFFECTS OF BACKWARD AND FORWARD BLADE SKEW MODES APPLIED TO AXIAL FLOW TURBO MACHINERY

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1154 INVESTIGATION EFFECTS OF BACKWARD AND FORWARD BLADE SKEW MODES APPLIED TO AXIAL FLOW TURBO MACHINERY ADEL.M.AL. JAMOM1 Institute of Science and Technology-Zawiya-Libya ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - Since the three-dimensional(3D)Computational fluid dynamic (CFD) flow field investigationtechniques, aswell as advanced flow measurement tools, give potential topredict effects related to blade skew to consider them in blade design. Through the use of CFD tools and the analysis ofexperimental data that has been published in the literature, the effects of skew applied to the rotor of axial flow turbo engines were examined in this work. Low-aspect-ratio rotors with forward and backward skew have been investigated, and their performance has been compared to that of un-skew datum rotors at various flow rates, span wise positions, and overall efficiency. In this work, the blade sections are swept forward and backward with 3.5 degree and 2.082 degree for dihedral as comparison with data in research and development (R&D) in the field of axial flow turbo machinery (such as fan, compressor, pump) at nowadays. It is focuses on isolated rotors of fluid transporting machines to improve the rotor performance characteristics via thebeneficial modificationon blade aerodynamics, by means of appropriate modification of blade geometry. Nowadays, the enhanced computational resources allow the designer to realize blade design concepts being more sophisticated and complicated than the “classic” designs, e.g. incorporating blade sweep with aid of Computational Fluid Dynamics (CFD) simulations. Three- dimensional (3D) CFD flow field investigation techniques, as well as advanced flow measurement tools, give potential to predict effects related to blade sweep and skew to consider them in blade design. It was noted that FSK provides a greater efficiency up to 75% of the blade span at the design point, demonstrating the advantages ofFSKrotorsoverotherrotors. Near the tip and at smaller radii, the forward-skewed blade increased and decreased inlet axial velocities, respectively.. Due to the small skew angles, the three rotors nearly have similar outlet axial velocities performance. The axial velocity also increases along the dominant part of the span. At the design flow rate, the forwardskewconsiderablyreduces the radically outward flow along the span andmostlynear the tip. Key Words: axial flow rotors, backward skew, forward skew, controlled vortex design. 1.INTRODUCTION Axial flow fans are frequently used in engineering and industrial settings. Many researches were carried out for improving the efficiencies by modifying certain geometric features, such as imparting blade sweep and/or skew for development of aerodynamic optimum shape of turbo machinery balding. Computational fluid dynamic (CFD) and numerical simulation have been widely applied in optimization design of fan blades. Up-to-date CFD techniques are available for the reliable predictionof3Dturbo machinery flow. Since measurements are expensive, time-consuming and strongly limited from the viewpoint of airfoil variations under investigation, it is beneficial to use CFD tool, which simulates the flow past the cascade of airfoils in a realistic manner. By doing so, it is possible to assess the effects of airfoil shape adjustments on the flow field quickly and more effectively determine the best practices for aerodynamic optimization. It appears to be beneficial to supplement these techniques with analytical models for exploring the underlying physics of 3D flow effects. By using computational fluid dynamic (CFD) techniques and processing experimental data that has been published in the literature, the study aims to evaluate the impact of skew applied to the rotor of axialflowturboengines. At various span-wise positions, low-aspect-ratio rotors with forward and backward skew have been explored and contrasted with unskew datum rotors.. Comparative studies have been carried out on these three rotors at the design flow rates by means of developing structured fully hexahedral mesh of the entire computational domain. The efficiency as well as the losses will be detected on all type of rotors along the span. In order to obtain information on the inter blade flow details, a CFD technique has been developed, using the finite-volume code FLUENT [1]. Using some data obtained for circumferential forward-skewed (FSK) of work of [2], the CFD tool was enabling us to use fixed blade chord along the span for BSK, FSK and USK rotors. 2-STRUCTURED GRIDS USED FOR USK, FSK AND BSK ROTORS The flow fields inBSK,FSKandUSKrotorsweresimulated by means of the same CFD codes. The computation domain for BSK, FSK and USK rotors has been regarded one blade pitch only. Typical computational domains for USK rotor are presented in Figure1.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1155 Fig-1: Computational domain for USk rotor The inlet face is a sector of the circular duct with 30 deg central angle. Downstream of the inlet face, sectors of the steady inlet cone and the rotating hub with one blade in the middle of the domain are included for both types of blading. At the inlet face, a swirl-free uniform axial inlet condition corresponding to the actual flow rate has been prescribed. The casing diameter was used as the hydraulic diameter to calculate the turbulence length scale, with the inlet turbulence intensity set to 1 percent. The rotor's meshing features are shown in Figure 2. At the outlet boundary (outflow condition in FLUENT), all flow variables have been subjected to a zero diffusion flux condition [1]. Fig-2: Meshing details for USK rotor The equiangular skewness of a cell is defined as the maximum value of the ratio of actual and possibly highest deviation from the optimum angle, considering each vertex [1]. Decreasing of equiangular skewness was achieved in structured grid. The grid design ensures that 99 % of the cells have equiangular skewness less than 0.6, and the maximum skewness value is 0.71. As the figure suggests, the highest skewness values appear near the LE and TE.Overthe dominant part of the SS and PS, the skewness is less than 0.35. Figure 3(b) shows the skewness values of the near- blade cells for USK along the axial chord, with zero axial position at the LE at mid span. Table -1: Skewness Value From above, by evaluating the results of figure (3.a) the value of the skewness is about 0.29 which is good according to table1. (a) (b) Blade (c) Domain Fig-3: Distribution of cell equiangular skew 3. Program structure FLUENT package includes the following products: • GAMBIT (re-processor): for geometry modeling and mesh generation. • FLUENT (post-processor)[1].
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1156 4. Boundary Conditions 1-The inlet boundary condition issetasavelocityinletwhere the velocity value is 9.2 [m/s] design flow rate . The flow direction is parallel to the rotational axis, which means the direction of x. 2- The blade, hub and outer case have been defined as wall, which does not let through the flow and create the boundary layers around them. 3- Outflow is used for the condition of outlet boundary. 4- the remaining part of the domain is set as default interior and the fluid boundary condition is applied for this domain where the air density is constant with the value ofρair =1.225 [kg /m3] 5- All the sidesurfaces ofthedomainaredefinedasrotational periodic. 5. COMPARATIVE CFD STUDIES ON BSK, FSK AND USK AT ROTORS AT THE DESIGN FLOW RATE The axial fan is used as the research target, and the computational fluid dynamics method is usedtosimulatethe three-dimensional flow of the axial fan. First, the modelingof an axial fan is introduced. The inlet (1) and outlet (2) planes have the axial position of -20.0 and 113.0 percent mid-span axial chord, respectively, where the zero axial position indicates the LE at mid-span as shown in Figure 4. Fig-4: USK Rotor with indication of planes 1 and 2 The relationship between the skew and un-skew parameters blades and the total pressure and the efficiency of the axial fan were investigated. After that, the qualitative comparison between BSK, FSK and USK rotors at the design flow rate is developed to solve the complex multi objective optimization problem where the total pressure and the efficiency of the axial fan are the optimization objectives. Finally, some conclusions are presented. The characteristicsandefficiency curves, the computational mesh and boundary conditions of the axial fan are presented in the following sections. 5. RESULTS AND DISCUSSIONS 5.1. Inlet axial velocity coefficient Compare with other contributions, the inlet flow field has- been investigated for USK, FSK and BSK. The near-tip part of the forward-skewed blade protrudes into the upstream relative flow field, and carries out workinadvancecompared to the blade sections at lower radii. This is suggested also by the generally increased axial velocity near the FSK LE as explained by Figure 5. This results in locally increased inlet axial velocity near the tip, results in the reduction of inlet axial velocity at lower radii of FSK. The same result was suggested by [3]. The inlet axial velocity profile has been found practically identical for the three rotors as shown in Figure6. It seen that the near-tip part oftheforward-skewed blade carries out work in advance compared to the blade sections at lower radii. This increases inletaxialvelocitynear the tip. Increase of inlet axial velocity near the tip results in the reduction of inlet axial velocity at lower radii of FSK. The applied blade FSK has an influence on the rotor inlet flow field: the inlet axial velocity for FSK is increased at the mid span especially at 70% span and is reduced at lower radii, as was observed for FSK rotors also in [4] this effect can be confirmed as a sort of sweep rather than dihedral. TABEL - 2: Inlet flow readings sigma INLET FLOW 0 Ҩ-FSK Ҩ-USK Ҩ-BSK 0.045455 0.275799 0.277612 0.277357 0.090909 0.30489 0.305663 0.306251 0.136364 0.31301 0.313279 0.314285 0.181818 0.318034 0.319277 0.319216 0.227273 0.323167 0.323294 0.324224 0.272727 0.326746 0.326904 0.327675 0.318182 0.330493 0.330157 0.33125 0.363636 0.333153 0.332637 0.333757 0.409091 0.335903 0.335024 0.336306 0.454545 0.337813 0.337055 0.338049 0.5 0.339675 0.338569 0.339713 0.545455 0.340866 0.339883 0.340745 0.590909 0.341847 0.340742 0.34153 0.636364 0.342315 0.341202 0.341837 0.681818 0.34241 0.341318 0.34176 0.727273 0.342166 0.341022 0.341382 0.772727 0.341395 0.34035 0.340458 0.818182 0.340445 0.338942 0.339394 0.863636 0.33844 0.336886 0.337261 0.909091 0.335014 0.333075 0.333736 0.954545 0.304674 0.310086 0.303106
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1157 Fig-5: Span wise distributions of pitch-averaged of inlet axial velocity coefficient at the design flow rate. Fig-6: Distributions of pitch-averaged of inlet axial velocity coefficient. 5.2.Outlet axial velocity coefficient Figures 7 and 8 indicate that, the three rotors having nearly similar axial velocities performance, this is may be possibly due to the small skew angle. Due to the reduced size of the stagnating zonenear the tip, the near-casinglayerofreduced total pressure rise and axial velocity is slightly thinner in the case of skew [5]. The axial velocity also increases along the dominant part of the span as indicated by Figure 6. that, the aerodynamicoptimizationdesignofforward-skewedbladeof low-pressure axial flow fan indicate that the impeller with forward-skewed blades would cause a span wise redistribution of flow rate and pressure toward the blade mid-span, as well as reduce tip loading as shown by [6]. Furthermore, the locus of maximum axial velocity is shifted toward higher radii. This results in increased pitch wise area averaged axial velocity near the tip of FSK and BSK as shown in Figures 5. TABEL - 3: Outlet flow readings sigma Outlet Flow 0 Ҩ-FSK Ҩ-USK Ҩ-BSK 0.045455 0.23263 0.229338 0.235929 0.090909 0.272287 0.268923 0.273362 0.136364 0.289379 0.287064 0.290108 0.181818 0.299636 0.297879 0.299996 0.227273 0.310745 0.309278 0.31071 0.272727 0.320734 0.319477 0.320022 0.318182 0.3318 0.330611 0.33058 0.363636 0.341857 0.340806 0.339882 0.409091 0.35278 0.351673 0.350194 0.454545 0.362799 0.361666 0.359263 0.5 0.373713 0.372348 0.369325 0.545455 0.383766 0.382318 0.378232 0.590909 0.395135 0.393409 0.388456 0.636364 0.405894 0.403947 0.397793 0.681818 0.418851 0.415954 0.409248 0.727273 0.431101 0.426558 0.419892 0.772727 0.444234 0.437112 0.431608 0.818182 0.441205 0.437099 0.431412 0.863636 0.353942 0.368714 0.362796 0.909091 0.189944 0.204703 0.21357 0.954545 -0.00571 -0.00077 0.02304
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1158 Fig- 7: Span wise distributions of pitch-averaged of the outlet axial velocity coefficient at the design flow rate . Fig- 8: distributions of the local axial velocity coefficient at the outlet plan. 5.3.Total efficiency The distributions of the local and pitch-averaged total efficienciesare presented. Figures 9 and10indicatethatFSK and BSK rotors operate at higher efficiency than USK. The Local total efficiency has been defined as the ratio between the local total pressure rise and the ideal local total pressure rise. The latter was computed using the Euler equation of turbo machines asa product ofdensity,bladecircumferential velocity at the givenradius,andlocalabsolutetangentialfluid velocity at the outlet. The higher efficiency of FSK occurs up to 75% blade span which demonstrates the benefits of FSK rotor. In the near-casing zone all rotors demonstrate the same results. TABEL – 4: Total efficiency readings sigma Total efficiency 0 ɳ-FSK ɳ-USK ɳ-BSK 0.045455 0.60532 0.571362 0.577276 0.090909 0.735076 0.700468 0.714509 0.136364 0.781872 0.749622 0.764419 0.181818 0.796102 0.76681 0.780265 0.227273 0.806211 0.780468 0.792037 0.272727 0.813517 0.790853 0.800353 0.318182 0.82058 0.801125 0.808655 0.363636 0.82591 0.809075 0.814663 0.409091 0.831033 0.8167 0.820517 0.454545 0.834805 0.822322 0.824622 0.5 0.838337 0.827755 0.828579 0.545455 0.840955 0.831849 0.831273 0.590909 0.843652 0.836266 0.834129 0.636364 0.845955 0.839624 0.836411 0.681818 0.848055 0.842088 0.838781 0.727273 0.846295 0.840412 0.837992 0.772727 0.816425 0.82442 0.813843 0.818182 0.70612 0.758822 0.719623 0.863636 0.492751 0.53674 0.508108 0.909091 0.346111 0.347732 0.346223 0.954545 0.235359 0.228518 0.241963
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 12 | Dec 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 1159 Fig- 9: span wise distribution of local total efficiency at design flow rate. Fig- 10: Span wise distributions of local total efficiency at the design flow rate. 6.Conclusions An axial fan rotor of Controlled Vortex Design, having forward and backward skew has been subjected to CFD investigation. It has been compared to an un-skewed datum rotor at its design flow rate. The CFD studies were supported by global performance measurements of literatures. The results illustrated and summarized as follows: 1. The circumferentiallyforward-skewedbladetipcarriesout work on the incoming fluid in advance compared with the blade sections at lower radii. This results in increased and decreased inlet axial velocities near the tipandatlowerradii, respectively. 2- The three rotors having nearly similar outlet axial velocities performance, this is may be possibly due to the small skew angles. The axial velocityalso increases along the dominant part of the span. 3- At the design flow rate, in the near-casing zone all rotors demonstrate the about the same results of efficiency. The higher efficiency of FSK occurs up to 75% blade span which demonstrates the benefits of FSK rotor. 4- Due to forward skew, the isobars are inclined “more forward” for FSK than for USK and BSK. The mechanism by which forward skew attenuates the SS radial outward flow. REFERENCES [1] FLUENT (FLUENT 6.3.26, 2006) , Fluent Inc., Lebanon, NH, USA. [2] Vad , J., Kwedikha, A. R. A., Kristóf, G., Lohász, M. M., Rábai, G., Rácz, N. and Watanabe, K. , 2005, “Effects of blade skew in an axial flow rotor of controlled vortex design.” 6th European Conference on Turbomachinery Fluid Dynamics and Thermodynamics,LilleProceedings pp. 46-55. [3] JVad ∗,ARAKwedikha, Cs Horváth, M Balczó, M M Lohász,andT Réger (2009). Aerodynamic effects of forward blade skew in axial flow rotors of controlled vortex design - Proc. IMechE Vol. 221 Part A: J. Power and Energy Ali R. A. Kwedikha, Aerodynamic effects of blade sweep and skew applied to rotors of axial flow turbomachinery -Budapest. [4] Meixner, H. U.(1995),VergleichendeLDA-Messungenan ungesichelten und gesichelten Axialventilatoren. Dissertation Universität Karlsruhe, VDI-Verlag, Reih7: Strömungstechnik, No. 266, Düsseldorf. [5] Vad, J., Kwedikha, A. R. A., Horva´th, Cs., Balczo´, M., Loha´sz, M. M., and Re´gert, T.(2007). “Aerodynamic effects of forward blade skew in axial flow rotors of controlled vortex design”. Proc. IMechE, Part A: J. Power and Energy,2007,221,1011-1023. [6] Li Yang, OuyangHua, and Du Zhao-Hu . ( 2007). Optimization Design and Experimental Study of Low- Pressure Axial Fan with Forward-Skewed Blades – Hindawi PublishingCorporationInternational Journal of Rotating MachineryVolume 2007, Article ID 85275,10pages - doi:10.1155/85275.