Improved Analytical Solution to Viscous Dissipation Induced by Oscillating Wall in Microchannel

2020 ◽  
pp. 1-10
Author(s):  
Chih Ping Tso ◽  
Chee Hao Hor ◽  
Gooi Mee Chen ◽  
Chee Kuang Kok
Keyword(s):  
Analytical Solution ◽  
Viscous Dissipation

Viscous Dissipation in Finite Thin-Gap Couette Devices

2001 ◽  
Vol 124 (1) ◽  
pp. 200-203 ◽  
Author(s):  
Michael C. Wendl ◽  
Ramesh K. Agarwal
Keyword(s):  
Temperature Distribution ◽  
Analytical Solution ◽  
Velocity Profile ◽  
Viscous Dissipation ◽  
External Heat ◽  
Heat Fluxes ◽  
Dimensional Theory ◽  
One Dimensional ◽  
Finite Span ◽  
Experimental Configuration

An analytical solution is reported for the temperature distribution in finite span thin-gap Couette devices which accounts for viscous dissipation. Taken in conjunction with an established solution for the stable velocity profile, this result describes the standard experimental configuration where no external heat fluxes are applied. We discuss physical aspects as well as conditions for which classical one-dimensional theory should be replaced by the present result.

Numerical Investigation of the Viscous Dissipation Term on 2D Heat Transfer

2014 ◽  
Vol 348 ◽  
pp. 279-284
Author(s):  
M.D. de Campos ◽  
E.C. Romão ◽  
L.F. Mendes de Moura
Keyword(s):  
Heat Transfer ◽  
Temperature Field ◽  
Velocity Field ◽  
Finite Difference ◽  
Analytical Solution ◽  
Finite Difference Method ◽  
Viscous Dissipation ◽  
Heat Transfer Equation ◽  
Dissipation Term ◽  
High Order Finite Difference

In this paper are analyzed, using high-order finite difference method, applications in which the viscous dissipation term can be neglected or not in the heat transfer equation. Some examples using various numerical values for the velocity field show that the viscous dissipation does not affect significantly the temperature field. Using the L2 norm, the numerical solution is compared with some examples that have an analytical solution.

Semi-Analytical Solution of the Heat Transfer Including Viscous Dissipation in the Steady Flow of a Sisko Fluid in Cylindrical Tubes

2018 ◽  
Vol 140 (7) ◽  
Author(s):  
Sumanta Chaudhuri ◽  
Prasanta Kumar Das
Keyword(s):  
Heat Transfer ◽  
Nusselt Number ◽  
Fluid Flow ◽  
Analytical Solution ◽  
Viscous Dissipation ◽  
Cylindrical Tube ◽  
Least Square ◽  
Convective Term ◽  
Brinkman Number ◽  
Sisko Fluid

Hydrodynamically and thermally fully developed flow of a Sisko fluid through a cylindrical tube has been investigated considering the effect of viscous dissipation. The effect of the convective term in the energy equation has been taken into account, which was neglected in the earlier studies for Sisko fluid flow. This convective term can significantly affect the temperature distribution if the radius of the tube is relatively large. The equations governing the flow and heat transfer are solved by the least square method (LSM) for both heating and cooling of the fluid. The results of the LSM solution are compared with that of the closed form analytical solution of the Newtonian fluid flow case and are found to match exactly. The results indicate that Nusselt number decreases with the increase in Brinkman number and increases with the increase in the Sisko fluid parameter for the heating of the fluid. In case of cooling, Nusselt number increases with the increase in the Brinkman number asymptotically to a very large value, changes its sign, and then decreases with the increase in Brinkman number. With the increase in the non-Newtonian index, Nusselt number is observed to increase.

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