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HEAT
TRANSFER
COEFFICIENT
CALCULATION
FOR
FORCED
CONVECTION
NAMDEV HADAPAD
• When heat flow is achived by mixing of warmer portions with cooler
portions of same material is known as convection.
TYPES:
1. Free convection : mixing of fluid accomplished by current set up when
body of fluid is heated such process known as free convection
2. Forced convection : mixing of fluids may be obtained by usinguse of
stirrers or agitator or pumping of fluid for recirculation such processes in
heat treansfer is designated as convective heat transfer.
What is CONVECTION ?
HEAT TRANSFER COEFFICIENT
METAL WALL-
• Dotted lines HH and CC – boundaries
of hot fluid and cold fluid
• Temeperature gradient through the
line
𝑡𝑐 𝑡𝑑 through the metal wall whose
thermal conductvity is known
• Metal wall thickness is L
1. HOT FLUID SIDE
• 𝑡𝑎 - Maximum temperature in hot
fluid
• 𝑡𝑏 - Temperature at boundary
• 𝑡𝑐 - Temperature at actual interface
• Curve 𝑡𝑎 , 𝑡𝑏, 𝑡𝑐temperature gradient
from hot fluid to metal wall
• 𝑡𝑏- Average temperature on hot fluid
side
Metal
wall
𝑡𝑎
𝑡𝑏
𝑡1
M
𝑡𝑐
𝑡𝑑
𝑡𝑒
𝑡2
N
𝑡𝑓
L
HOT FLUID
(turbulenT)
COLD
FLUID
(turbulent)
Z
C H
2. COLD FLUID SIDE
• 𝑡𝑓 - is minimum temperature on
cold fluid side
• 𝑡𝑒 - is temperature boundry at
cold fluid side
• 𝑡𝑑- Temprature at actual
interface
• Curve 𝑡𝑑, 𝑡𝑒, 𝑡𝑓is temperature
gradient metalwall to cold side
• 𝑡2- Average temperature on cold
fluid side
Metal
wall
𝑡𝑎
𝑡𝑏
𝑡1
M
𝑡𝑐
𝑡𝑑
𝑡𝑒
𝑡2
N
𝑡𝑓
L
HOT FLUID
(turbulenT)
COLD
FLUID
(turbulent)
Z
C H
SURFACE  FILM COEFFICIENT
• The quantity of heat flowing through unit area of the film
for unit drop in temperature.
Let us consider :
• Q watt of heat flowing from hot fluid to cold fluid
• Area of metal wall on hot side - 𝐴1 𝑚2
• Area of metal wall on cold side - 𝐴2 𝑚2
• Average area of metal wall - 𝐴𝑚𝑚2
• Film coefficient on hot
side=
𝐴𝑚𝑜𝑢𝑡 𝑜𝑓 ℎ𝑒𝑎𝑡 𝑓𝑙𝑜𝑤𝑖𝑛𝑔 (𝑊)
𝑎𝑟𝑒𝑎 𝑚2 𝑋 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑖𝑛 𝑡𝑒𝑚𝑝𝑟𝑎𝑡𝑢𝑟𝑒 (𝑘)
• ℎ1 =
𝑞
𝐴1 (𝑡1−𝑡2)
•
𝑡1−𝑡2
𝑞
=
1
ℎ1𝐴1
• So =
1
ℎ1𝐴1
is known as thermal resistance on hot side
Similarly, film coefficient on cold side ℎ2 =
𝑞
𝐴2 (𝑡𝑑−𝑡2)
And
1
ℎ2𝐴2
is known as thermal resistance on cold side
OVERALL COEFFICIENT
•
1
ℎ1𝐴1
is the resistance on hot fluid side
•
𝐿
𝐾 𝐴𝑚
is the resistance of metal wall
•
1
ℎ2𝐴2
is the resistance on cold fluid side
So overall heat transfer may be written as
q=
Δ𝑡
1
ℎ1𝐴1
+
𝐿
𝐾 𝐴𝑚
+
1
ℎ2𝐴2
Right side of the equation multiplied by
𝐴1
𝐴1
q=
𝐴1Δ𝑡
1
ℎ1
+
𝐿𝐴1
𝐾 𝐴𝑚
+
𝐴1
ℎ2𝐴2
Overall heat transfercoefficient 𝑈1 is −
𝑈1=
1
1
ℎ1
+
𝐿𝐴1
𝐾 𝐴𝑚
+
𝐴1
ℎ2𝐴2
(1)
(2)
Compairing both equations (1) and (2)
q= 𝑈1𝐴1Δ𝑡
• q= 𝑈1𝐴1Δ𝑡
So,
Rate of heat
transfer
Overall heat
Transfer
coefficient
Temp.
Drop
Area of
heating
surface
FOR TUBULAR WALL
Area “A” replaced by diameter “D”
So, overall transfer coefficient 𝑈1is –
𝑈1=
1
1
ℎ1
+
𝐿𝐷1
𝐾 𝐷𝑚
+
𝐷1
ℎ2𝐷2
So,
Q= 𝑈1𝐷1Δ𝑡
REFRENCES
• Food Process Engineering and
Technology Zeki Berk Professor
(Emeritus) Department of
Biotechnology and Food
Engineering TECHNION Israel
Institute of Technology Israel
• https://youtu.be/v47uTuEGW9
Q
THANK YOU

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HEAT TRANSFER COEFFICIENT CALCULATION FOR

  • 2. • When heat flow is achived by mixing of warmer portions with cooler portions of same material is known as convection. TYPES: 1. Free convection : mixing of fluid accomplished by current set up when body of fluid is heated such process known as free convection 2. Forced convection : mixing of fluids may be obtained by usinguse of stirrers or agitator or pumping of fluid for recirculation such processes in heat treansfer is designated as convective heat transfer. What is CONVECTION ?
  • 4. METAL WALL- • Dotted lines HH and CC – boundaries of hot fluid and cold fluid • Temeperature gradient through the line 𝑡𝑐 𝑡𝑑 through the metal wall whose thermal conductvity is known • Metal wall thickness is L 1. HOT FLUID SIDE • 𝑡𝑎 - Maximum temperature in hot fluid • 𝑡𝑏 - Temperature at boundary • 𝑡𝑐 - Temperature at actual interface • Curve 𝑡𝑎 , 𝑡𝑏, 𝑡𝑐temperature gradient from hot fluid to metal wall • 𝑡𝑏- Average temperature on hot fluid side Metal wall 𝑡𝑎 𝑡𝑏 𝑡1 M 𝑡𝑐 𝑡𝑑 𝑡𝑒 𝑡2 N 𝑡𝑓 L HOT FLUID (turbulenT) COLD FLUID (turbulent) Z C H
  • 5. 2. COLD FLUID SIDE • 𝑡𝑓 - is minimum temperature on cold fluid side • 𝑡𝑒 - is temperature boundry at cold fluid side • 𝑡𝑑- Temprature at actual interface • Curve 𝑡𝑑, 𝑡𝑒, 𝑡𝑓is temperature gradient metalwall to cold side • 𝑡2- Average temperature on cold fluid side Metal wall 𝑡𝑎 𝑡𝑏 𝑡1 M 𝑡𝑐 𝑡𝑑 𝑡𝑒 𝑡2 N 𝑡𝑓 L HOT FLUID (turbulenT) COLD FLUID (turbulent) Z C H
  • 6. SURFACE FILM COEFFICIENT • The quantity of heat flowing through unit area of the film for unit drop in temperature. Let us consider : • Q watt of heat flowing from hot fluid to cold fluid • Area of metal wall on hot side - 𝐴1 𝑚2 • Area of metal wall on cold side - 𝐴2 𝑚2 • Average area of metal wall - 𝐴𝑚𝑚2
  • 7. • Film coefficient on hot side= 𝐴𝑚𝑜𝑢𝑡 𝑜𝑓 ℎ𝑒𝑎𝑡 𝑓𝑙𝑜𝑤𝑖𝑛𝑔 (𝑊) 𝑎𝑟𝑒𝑎 𝑚2 𝑋 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑖𝑛 𝑡𝑒𝑚𝑝𝑟𝑎𝑡𝑢𝑟𝑒 (𝑘) • ℎ1 = 𝑞 𝐴1 (𝑡1−𝑡2) • 𝑡1−𝑡2 𝑞 = 1 ℎ1𝐴1 • So = 1 ℎ1𝐴1 is known as thermal resistance on hot side Similarly, film coefficient on cold side ℎ2 = 𝑞 𝐴2 (𝑡𝑑−𝑡2) And 1 ℎ2𝐴2 is known as thermal resistance on cold side
  • 8. OVERALL COEFFICIENT • 1 ℎ1𝐴1 is the resistance on hot fluid side • 𝐿 𝐾 𝐴𝑚 is the resistance of metal wall • 1 ℎ2𝐴2 is the resistance on cold fluid side So overall heat transfer may be written as q= Δ𝑡 1 ℎ1𝐴1 + 𝐿 𝐾 𝐴𝑚 + 1 ℎ2𝐴2
  • 9. Right side of the equation multiplied by 𝐴1 𝐴1 q= 𝐴1Δ𝑡 1 ℎ1 + 𝐿𝐴1 𝐾 𝐴𝑚 + 𝐴1 ℎ2𝐴2 Overall heat transfercoefficient 𝑈1 is − 𝑈1= 1 1 ℎ1 + 𝐿𝐴1 𝐾 𝐴𝑚 + 𝐴1 ℎ2𝐴2 (1) (2) Compairing both equations (1) and (2) q= 𝑈1𝐴1Δ𝑡
  • 10. • q= 𝑈1𝐴1Δ𝑡 So, Rate of heat transfer Overall heat Transfer coefficient Temp. Drop Area of heating surface
  • 11. FOR TUBULAR WALL Area “A” replaced by diameter “D” So, overall transfer coefficient 𝑈1is – 𝑈1= 1 1 ℎ1 + 𝐿𝐷1 𝐾 𝐷𝑚 + 𝐷1 ℎ2𝐷2 So, Q= 𝑈1𝐷1Δ𝑡
  • 12. REFRENCES • Food Process Engineering and Technology Zeki Berk Professor (Emeritus) Department of Biotechnology and Food Engineering TECHNION Israel Institute of Technology Israel • https://youtu.be/v47uTuEGW9 Q