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Analytical and numerical solution of fluid flow between two parallel flat plates and temperature distribution

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Analytical solution on fluid motion equations according to nonlinear equations of flow is an interesting subject for research. In this paper we have studied laminar flow between two parallel flat plates with different temperatures (Poiseuille flow) by the equation y= ±h .The flow has been considered as two dimensional, incompressible,unsteady and heat transfer is an exponential function of time, assumed as [수식]. It is also assumed that [수식], the rate of heat produced in unit volume and the temperature of the boundary walls is a function of time.

Abstract

Analytical solution on fluid motion equations according to nonlinear equations of flow is an interesting subject for research. In this paper we have studied laminar flow between two parallel flat plates with different temperatures (Poiseuille flow) by the equation y= ±h .The flow has been considered as two dimensional, incompressible,unsteady and heat transfer is an exponential function of time, assumed as [수식]. It is also assumed that [수식], the rate of heat produced in unit volume and the temperature of the boundary walls is a function of time.

참고문헌 (9)

  1. Radhey shiam, , 박사, pp.1969
  2. Schlichting , H, "Boundary layer theory", pp.273~278 (1968), Mc Graw hill Book co
  3. Bansal,J.L, "Viscous Fluid Dynamics", Oxford and IBH publishing co
  4. H. K. Versteeg, "An introduction to computational", The finite volume method
  5. "Computational fluid dynamics principles and applications", J.Blazek
  6. Z.Nowak, "Laminar Heat Transfer to power law fluids in fat gaps with viscous thermal walls conditions", Poland Acta Mechanica, 44, pp.223~236
  7. "Temperature distribution in Couette flow between two parallel flat plates G .N.Purohit", Department of Mathematics, 33(3), Rajasthan University
  8. Pai,S.I, "viscous flow theory 1 laminar flow D" (1956), Van Nostrand Company
  9. Bhatnagar,P.L, "A note on the temperature distribution in a channel bounded by two coaxial cylinders", 31th conf. Indian maths Soc (1965)

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