On Approach to Increase Integration Rate of Elements of a Switched-capacitor ...BRNSS Publication Hub
In this paper, we introduce an approach to increase integration rate of elements of a switched-
capacitor step-down DC–DC converter. Framework the approach, we consider a heterostructure with
special configuration. Several specific areas of the heterostructure should be doped by diffusion or ion
implantation. Annealing of dopant and/or radiation defects should be optimized.
On Approach to Increase Integration Rate of Elements of a Switched-capacitor ...BRNSS Publication Hub
In this paper, we introduce an approach to increase integration rate of elements of a switched-
capacitor step-down DC–DC converter. Framework the approach, we consider a heterostructure with
special configuration. Several specific areas of the heterostructure should be doped by diffusion or ion
implantation. Annealing of dopant and/or radiation defects should be optimized.
shooting method with Range kutta methodSetuThacker
how to solve the differential equation by using shooting method & range Kutta method.there is one problem statement, which is related to the temperature distribution problem over an iron rod. there is two graphs of the 2nd order and 4th order Range Kutta. there is one combine graph of the both the method which gives correct & closest answer.
Thank You...!!!
This presentation gives example of "Calculus of Variations" problems that can be solved analytical. "Calculus of Variations" presentation is prerequisite to this one.
For comments please contact me at solo.hermelin@gmail.com.
For more presentations on different subjects visit my website at http://www.solohermelin.com.
Gamma Function mathematics and history.
Please send comments and suggestions for improvements to solo.hermelin@gmail.com. Thanks.
More presentations on different subjects can be found on my website at http://www.solohermelin.com.
On the Fixed Point Extension Results in the Differential Systems of Ordinary ...BRNSS Publication Hub
In this work, a fixed point x(t), t ∈ [a,b], a ≤ b ≤ +∞ of differential system is said to be extendable to t = b if there exists another fixed point xttaccb()[],,, of the system (1.1) below and xtxttab()=()[),, so that given the system
x’ = f(t,x); f: J × M → Rn
We aim at using the established Peano’s theorem on existence of the fixed point plus Picard–Lindelof theorem on uniqueness of same fixed point to extend the ordinary differential equations whose local existence is ensured by the above in a domain of open connected set producing the result that if D is a domain of R × Rn so that F: D → Rn is continuous and suppose that (t0,x0) is a point D where if the system has a fixed point x(t) defined on a finite interval (a,b) with t ∈(a,b) and x(t0) = x0, then whenever f is bounded and D, the limits
xa
xtta()lim()+=+
xb
xttb()lim()−=
exist as finite vectors and if the point (a, x(a+)),(b, x(b–)) is in D, then the fixed point x(t) is extendable to the point t = a(t = b). Stronger results establishing this fact are in the last section of this work.
shooting method with Range kutta methodSetuThacker
how to solve the differential equation by using shooting method & range Kutta method.there is one problem statement, which is related to the temperature distribution problem over an iron rod. there is two graphs of the 2nd order and 4th order Range Kutta. there is one combine graph of the both the method which gives correct & closest answer.
Thank You...!!!
This presentation gives example of "Calculus of Variations" problems that can be solved analytical. "Calculus of Variations" presentation is prerequisite to this one.
For comments please contact me at solo.hermelin@gmail.com.
For more presentations on different subjects visit my website at http://www.solohermelin.com.
Gamma Function mathematics and history.
Please send comments and suggestions for improvements to solo.hermelin@gmail.com. Thanks.
More presentations on different subjects can be found on my website at http://www.solohermelin.com.
On the Fixed Point Extension Results in the Differential Systems of Ordinary ...BRNSS Publication Hub
In this work, a fixed point x(t), t ∈ [a,b], a ≤ b ≤ +∞ of differential system is said to be extendable to t = b if there exists another fixed point xttaccb()[],,, of the system (1.1) below and xtxttab()=()[),, so that given the system
x’ = f(t,x); f: J × M → Rn
We aim at using the established Peano’s theorem on existence of the fixed point plus Picard–Lindelof theorem on uniqueness of same fixed point to extend the ordinary differential equations whose local existence is ensured by the above in a domain of open connected set producing the result that if D is a domain of R × Rn so that F: D → Rn is continuous and suppose that (t0,x0) is a point D where if the system has a fixed point x(t) defined on a finite interval (a,b) with t ∈(a,b) and x(t0) = x0, then whenever f is bounded and D, the limits
xa
xtta()lim()+=+
xb
xttb()lim()−=
exist as finite vectors and if the point (a, x(a+)),(b, x(b–)) is in D, then the fixed point x(t) is extendable to the point t = a(t = b). Stronger results establishing this fact are in the last section of this work.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
1. BHEEMANNA KHANDRE INSTITUTE OF TECHNOLOGY, BHALKI
Dept. of Applied Science and Humanities, (Mathematics)
Sub: Engg. Mathematics-III
Sub.code: 15MAT31
Module-3: Partial Differential Equations
by
Dr. Jagadish Tawade
Asst Professor,
BKIT, Bhalki
2. UNIT-3: APPLICATION OF PARTIAL DIFFERENTIALM EQUATION:
Various possible solutions of one dimensional wave and heat equations, two
dimensional Laplace’s equation by the method of separation of variables,
Solution of all these equations with specified boundary conditions. D’Alembert’s
solution of one dimensional wave equation.
[6 hours]
3. Objectives of conduction analysis
To determine the temperature field, T(x,y,z,t), in a body
(i.e. how temperature varies with position within the body)
T(x,y,z,t) depends on:
- boundary conditions
- initial condition
- material properties (k, cp, …)
- geometry of the body (shape, size)
Why we need T(x,y,z,t) ?
- to compute heat flux at any location (using Fourier’s eqn.)
- compute thermal stresses, expansion, deflection due to temp. etc.
- design insulation thickness
- chip temperature calculation
- heat treatment of metals
T(x,y,z)
4. 0
Area =
A x
x x+x
q= Internal heat generation per unit vol. (W/m3)
qx qx+x
A
Solid bar, insulated on all
long sides (1D heat
conduction)
Unidirectional heat
conduction (1D)
5. Unidirectional heat
conduction (1D)
First Law (energy balance)
t
E
qxAqq xxx
=+- + )(
stgenoutin EEEE =+- )(
t
T
xcA
t
u
xA
t
E
uxAE
=
=
=
)(
x
x
q
qq
x
T
kAq
x
xxx
x
+=
-=
+
6. If k is a constant
t
T
t
T
k
c
k
q
x
T
=
=+
a
1
2
2
Unidirectional heat conduction
(1D)(contd…)
t
T
cq
x
T
k
x
t
T
xAcqxAx
x
T
k
x
A
x
T
kA
x
T
kA
=+
=+
+
+
-
Longitudinal
conduction
Thermal inertiaInternal heat
generation
7. Unidirectional heat conduction
(1D)(contd…)
For T to rise, LHS must be positive (heat input is
positive)
For a fixed heat input, T rises faster for higher a
In this special case, heat flow is 1D. If sides were not
insulated, heat flow could be 2D, 3D.
8. Boundary and Initial conditions:
The objective of deriving the heat diffusion equation is to
determine the temperature distribution within the conducting
body.
We have set up a differential equation, with T as the
dependent variable. The solution will give us T(x,y,z).
Solution depends on boundary conditions (BC) and initial
conditions (IC).
9. Boundary and Initial
conditions (contd…)
How many BC’s and IC’s ?
- Heat equation is second order in spatial coordinate. Hence, 2
BC’s needed for each coordinate.
* 1D problem: 2 BC in x-direction
* 2D problem: 2 BC in x-direction, 2 in y-direction
* 3D problem: 2 in x-dir., 2 in y-dir., and 2 in z-dir.
- Heat equation is first order in time. Hence one IC needed
15. Composite Walls :
A B C
T∞,1
T∞,2
h1
h2K A K B K C
LA L B L C
q x
T∞,1 T∞,2
Ah1
1
Ah2
1
Ak
L
A
A
Ak
L
B
B
Ak
L
C
C
TUA
Ahk
L
k
L
k
L
Ah
TT
R
TT
q
C
C
B
B
A
At
x =
++++
-
=
-
=
21
2,1,2,1,
11
==
AR
Uwhere
tot
1
, Overall heat transfer coefficient
16. Overall Heat transfer Coefficient
21
total
h
1
k
L
h
1
1
AR
1
U
++
==
Contact Resistance :
A B
TA
TB
T
x
c,t
q
T
R
=
19. Consider a composite plane wall as shown:
Develop an approximate solution for the rate of heat
transfer through the wall.
Example:
kI = 20 W/mk
AI = 1 m2, L = 1m
kII = 10 W/mk
AII = 1 m2, L = 1m
T1 =
0°C
Tf = 100°C
h = 1000 W/ m2 k
qx
20. 1 D Conduction(Radial
conduction in a composite
cylinder)
h1
T∞,1
k1
r1
r2
k2
T∞,2 r3
h2
T∞,1 T∞,2
)2)((
1
11 Lrh )2)((
1
22 Lrh
12
ln 2
1
Lk
r
r
22
ln 3
2
Lk
r
r
-
=
t
r
R
TT
q
1,2,
21. Critical Insulation
Thickness :
r0
ri
T∞
Ti
h
Insulation Thickness : r o-r i
hLrkL
R ir
r
tot
)2(
1
2
)ln(
0
0
+=
Objective : decrease q , increases
Vary r0 ; as r0 increases ,first term
increases, second term decreases.
totR
22. Critical Insulation
Thickness (contd…)
Set 0
0
=
dr
dRtot
0
2
1
2
1
0
2
0
=-
hLrLkr
h
k
r =0
Max or Min. ? Take : 0
0
2
2
=
dr
Rd tot at
h
k
r =0
h
k
r
tot
hLrLkrdr
Rd
=
+
-
=
0
0
2
0
2
0
2
2
1
2
1
0
2 3
2
Lk
h
=
Maximum – Minimum problem
23. Minimum q at r0 =(k/h)=r c r (critical radius)
good for steam pipes etc.
good for
electrical
cables
R c r=k/h
r0
R t o t
Critical Insulation
Thickness (contd…)
24. 1D Conduction in Sphere
r1
r2
k
Ts,1
Ts,2
T∞,1
T∞,2
k
rr
R
rr
TTk
dr
dT
kAq
TTTrT
dr
dT
kr
dr
d
r
condt
ss
r
rr
rr
sss
4
/1/1
/1/1
4
)(
0
1
21
,
21
2,1,
/1
/1
2,1,1,
2
2
21
1
-
=
-
-
=-=
-=
=
-
-
-
Inside Solid:
25. Applications: * current carrying conductors
* chemically reacting systems
* nuclear reactors
= Energy generation per unit volume
V
E
q
=
Conduction with Thermal
Energy Generation
26. Conduction with Thermal
Energy Generation
The Plane Wall :
k
Ts,1
Ts,2
x=0 x=+L
Hot
fluid
Cold
fluid
T∞,2
T∞,1
x= -L
q Assumptions:
1D, steady state,
constant k,
uniform q
27. Conduction With Thermal
Energy Generation (contd…)
CxCx
k
q
TSolution
TTLx
TTLxcondBoundary
k
q
dx
Td
s
s
++-=
=+=
=-=
=+
2
:
,
,:.
0
21
2
2,
1,
2
2
28. Not linear any more
Derive the expression and show that it is not
independent of x any more
Hence thermal resistance concept is not correct to use when there is internal
heat generation
dx
dT
kqfluxHeat
TT
L
xTT
L
x
k
Lq
TsolutionFinal
CandCfindtoconditionsboundaryUse
x
ssss
-=
+
+
-
+
-=
:
22
1
2
:
1,2,1,2,
2
22
21
Conduction with Thermal
Energy Generation (cont..)
29. Cylinder with heat source
Assumptions:
1D, steady state, constant
k, uniform
Start with 1D heat equation in cylindrical
co-ordinates:
k
q
dr
dT
r
dr
d
r
=+
0
1
ro
r
Ts
T∞ h
q
q
31. Cylinder with heat source
(contd…)
Example:
A current of 100A is passed through a stainless steel wire having a
thermal conductivity K=25W/mK, diameter 3mm, and electrical
resistivity R = 2.0 . The length of the wire is 1m. The wire is
submerged in a liquid at 100°C, and the heat transfer coefficient is
10W/m2K. Calculate the centre temperature of the wire at steady
state condition.