Eigenvalues for the Graetz problem in slip-flow

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Abstract

Exact solution of the problem considered in [1] is used to compute the eigenvalues required in the analytical solution of laminar thermally developing forced convection between parallel-plates in slip flow. Mathematica statement is given that permits the straight forward reproduction of these results, at any Knudsen number, Kn.

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    Then they used Matlab software to present the numerical solution of this problem. Due to the classical nature of this problem, several researchers [15–21] extend this problem by using non-Newtonian fluid, slip boundary conditions and viscous dissipation effect. Recently, Khan et al. [22] extended the Graetz problem for Quemada fluid model along with axial conduction inside the circular tube.

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