Solution of the temperature jump (Knudsen layer flow) and linear heat-transfer problems for two parallel plates in a rarefied gas

1972 ◽  
Vol 4 (4) ◽  
pp. 72-76 ◽  
Author(s):  
S. L. Gorelov ◽  
M. N. Kogan
Keyword(s):  
Heat Transfer ◽  
Temperature Jump ◽  
Rarefied Gas ◽  
Knudsen Layer ◽  
Parallel Plates ◽  
Linear Heat ◽  
Layer Flow ◽  
Transfer Problems

Algebraic solutions of flow and heat for some nanofluids over deformable and permeable surfaces

2017 ◽  
Vol 27 (10) ◽  
pp. 2259-2267 ◽  
Author(s):  
Mustafa Turkyilmazoglu
Keyword(s):  
Heat Transfer ◽  
Design Methodology ◽  
Temperature Jump ◽  
Volume Fraction ◽  
Velocity Slip ◽  
Jump Conditions ◽  
Content Type ◽  
Layer Flow ◽  
Working Out ◽  
Algebraic Solutions

Purpose This paper aims to working out exact solutions for the boundary layer flow of some nanofluids over porous stretching/shrinking surfaces with different configurations. To serve to this aim, five types of nanoparticles together with the water as base fluid are under consideration, namely, Ag, Cu, CuO, Al2O3 and TiO2. Design/methodology/approach The physical flow is affected by the presence of velocity slip as well as temperature jump conditions. Findings The knowledge on the influences of nanoparticle volume fraction on the practically significant parameters, such as the skin friction and the rate of heat transfer, for the above considered nanofluids, is easy to gain from the extracted explicit formulas. Originality/value Particularly, formulas clearly point that the heat transfer rate is not only dependent on the thermal conductivity of the material but it also highly relies on the heat capacitance as well as the density of the nanofluid under consideration.

Heat Transfer by Simultaneous Conduction and Radiation in an Absorbing Medium

1962 ◽  
Vol 84 (1) ◽  
pp. 63-72 ◽  
Author(s):  
R. Viskanta ◽  
R. J. Grosh
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Radiant Heat ◽  
Radiant Heat Transfer ◽  
Dimensional System ◽  
Parallel Plates ◽  
Approximate Methods ◽  
One Dimensional ◽  
Finite Distance ◽  
Transfer Problems

Heat transfer by simultaneous conduction and radiation in a thermal radiation absorbing and emitting medium is considered. Consideration is given to a one-dimensional system consisting of two, diffuse, nonblack, infinite, isothermal, parallel plates separated by a finite distance. The space between the plates is filled with a thermal radiation absorbing and emitting medium. The problem is formulated in terms of a nonlinear integro-differential equation and the solution is obtained by reducing it to a nonlinear integral equation. The numerical results are obtained by an iterative method. The temperature distributions and heat transfer are calculated. Two approximate methods for formulating radiant heat-transfer problems are presented and comparisons of the results are made with the most exact solution.

Heat Transfer Through a Gas Between Parallel Plates

1977 ◽  
Vol 32 (9) ◽  
pp. 914-926 ◽  
Author(s):  
L. Waldmann
Keyword(s):  
Heat Transfer ◽  
Particle Distribution ◽  
Temperature Jump ◽  
Exact Formula ◽  
Parallel Plates ◽  
Total Heat Transfer ◽  
Linearized Boltzmann Equation ◽  
Scattering Kernel ◽  
Interfacial Scattering ◽  
Transport Relaxation

Within the framework of boundary conditions recently developed for the linearized Boltzmann equation 1 the problem of heat transfer between parallel plates can be solved in terms of "transport- relaxation eigenfunctions". The particle distribution function and the total heat transfer in the Knudsen case are exactly expressed by integrals over the interfacial scattering kernel occurring in the new scheme. A detailed discussion of the general case gives an exact formula and sign statement for the temperature jump at parallel plates. An approximation, which encompasses v. Smoluchowski's approach, lies at hand. This approximation is also readily confirmed by a moment method.

Heat transfer between infinite parallel plates in a rarefied gas

1972 ◽  
Vol 7 (1) ◽  
pp. 77-80 ◽  
Author(s):  
A. M. Bishaev ◽  
V. A. Rykov
Keyword(s):  
Heat Transfer ◽  
Rarefied Gas ◽  
Parallel Plates

scholarly journals An integral transform applied to solve the steady heat transfer problem in the half-plane

2017 ◽  
Vol 21 (suppl. 1) ◽  
pp. 105-111
Author(s):  
Tongqiang Xia ◽  
Shengping Yan ◽  
Xin Liang ◽  
Pengjun Zhang ◽  
Chun Liu
Keyword(s):  
Heat Transfer ◽  
Half Plane ◽  
Laplace Equation ◽  
Integral Transform ◽  
Transfer Problem ◽  
Heat Transfer Problem ◽  
Linear Heat ◽  
Transfer Problems ◽  
Steady Heat

An integral transform operator U[?(t)= 1/? ???? ?(t)?-i?t dt is considered to solve the steady heat transfer problem in this paper. The analytic technique is illustrated to be applicable in the solution of a 1-D Laplace equation in the half-plane. The results are interesting as well as potentially useful in the linear heat transfer problems.

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