Heat Conduction Basic Research Part 14 ppt

... Sphere geometry The heat conduction equation in spherical coordinates is, in a region free of heat source, kd dT r. dr dr r  2 2 2 0 (B1) Heat Conduction – Basic Research 326 solutions ... 1) , , } f ii j e f frrn e        (49) 2.6 Basic equations for unsteady heat conduction In unsteady heat conduction problems with heat generation 1 (,) S Wq...

Ngày tải lên: 18/06/2014, 22:20

... from orders@intechweb.org Heat Conduction – Basic Research, Edited by Vyacheslav S. Vikhrenko p. cm. ISBN 978-953-307-404-7 Heat Conduction – Basic Research 6 3.2 Initial value ... Preface IX Part 1 Inverse Heat Conduction Problems 1 Chapter 1 Inverse Heat Conduction Problems 3 Krzysztof Grysa Chapter 2 Assessment of Various Methods in Solving Invers...

Ngày tải lên: 18/06/2014, 22:20

... equal to 0.6R. Part 2 Non-Fourier and Nonlinear Heat Conduction, Time Varying Heat Sorces Heat Conduction – Basic Research 112 The generalized forms of the nonlinear heat conduction equation ... curves are not shown in this figure. Heat Conduction – Basic Research 106 In this work, local heat transfer is analyzed by solving inverse heat conduction...

Ngày tải lên: 18/06/2014, 22:20

... the following coupled nonlinear ordinary differential equations: 164 Heat Conduction – Basic Research Heat Conduction – Basic Research 180 heat transfer scientists define the dimensionless Biot number ... dynamic phase transition. It is important to emphasize that in this 172 Heat Conduction – Basic Research Heat Conduction – Basic Research 184    ( ...

Ngày tải lên: 18/06/2014, 22:20

... −ωc jikl { Re ( U ∗ i U k k l ) exp ( − 2x s A s ) + Re [ U i U k k l exp ( i2x s k s ) exp ( i2ωt )]} + (39) ωe kji { − Re ( k k U ∗ i Ψ ) exp ( − 2x s A s ) + Re [ k k ΨU i exp ( i2x s k s ) exp ( i2ωt )]} + ωγ ji [[ Im ( U ∗ i Θ ) exp ( − 2x s A s ) − ωImU i Θexp ( i2x s k s ) exp ( i2ωt )]] 242 Heat Conduction – Basic Research Heat Conduction – Basic Research 258 0 0...

Ngày tải lên: 18/06/2014, 22:20

... Heat Conduction – Basic Research 266 4. Conclusions Using the method of direct integration, the explicit-form analytical solutions have been found for the equations of in-plane heat conduction ... contrast, we explicitly leave the radiative conduction term in the hydrodynamic system to handle its nonlinear effect. Heat Conduction – Basic Research 278 about...

Ngày tải lên: 18/06/2014, 22:20

... ) (,,,) {() 64 F f t ff f t f aa Tpqt rr dEa nn a           1 1 [2 ( ) 2ln( ) 2 1 exp( )]} ff f f Ea a C a a  (78) Heat Conduction – Basic Research 340 Additionally, the temperature gradient is given by differentiating ... follows: * 1 (,,,) , exp( ) 2 F f t i f t i Tpqt r da xr         , (86) Heat Conduction – Basic Research 348...

Ngày tải lên: 18/06/2014, 22:20

... Chow, L. C. (1981), Inverse Heat Conduction by Direct Inverse Laplace Transform, Numerical Heat Transfer, Vol.4, pp.499-504, ISSN 1040-7782 Heat Conduction – Basic Research 32 7. References ... of heat conduction equation, Journal of Theoretical and Applied Mechanics, Vol.48, No.1, pp. 111-134, ISSN 142 9-2955 Inverse Heat Conduction Problems 29 solution o...

Ngày tải lên: 18/06/2014, 22:20

... W/m.°C and later Heat Conduction – Basic Research 40 derivatives, with respect to time or space. Previous research (Gadala & Xu, 2006) has shown that using the heat flux values (zeroth-order ... Also, in (Vakili & Gadala, 2011), several Heat Conduction – Basic Research 48 modifications were done on the formulation of inverse heat conduction problem a...

Ngày tải lên: 18/06/2014, 22:20

... + δ)=w(p + δ), v  (p + δ) ≥ 0 and ω 1 ≤ ω 2 imply ω 1 = ω 2 . 72 Heat Conduction – Basic Research Heat Conduction – Basic Research 88 Height [m] 0 0.001 0.002 0.003 0.004 0.005 0.006 -25 ... a ∈PC(σ) are identifiable from observations z m (t; a) of the heat conduction process (2) taken at finitely many points p m . 84 Heat Conduction – Basic Research Identifia...

Ngày tải lên: 18/06/2014, 22:20