Study of 2-D Unsteady In-Compressible Viscous Flow & Heat Transfer with Wall Slip Boundary Conditions: A Numerical Approach

Mohit Kumar Srivastav; Lokesh Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V71I8P103

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 8 | Year 2025 | Article Id. IJMTT-V71I8P103 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I8P103

Study of 2-D Unsteady In-Compressible Viscous Flow & Heat Transfer with Wall Slip Boundary Conditions: A Numerical Approach

Mohit Kumar Srivastav, Lokesh Kumar

Received	Revised	Accepted	Published
11 Jun 2025	18 Jul 2025	04 Aug 2025	18 Aug 2025

Citation :

Mohit Kumar Srivastav, Lokesh Kumar, "Study of 2-D Unsteady In-Compressible Viscous Flow & Heat Transfer with Wall Slip Boundary Conditions: A Numerical Approach," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 8, pp. 14-20, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I8P103

Abstract

This study introduces a numerical method to address the phenomenon of fluid flow and heat transfer within a rectangular area under wall slip boundary conditions. The established marker and cell (MAC) technique [1] has been effectively used for discretizing the governing equations relevant to the study. The MAC method’s solution algorithm has been employed to calculate the flow variables for high Reynolds numbers and a range of Prandtl numbers. The numerical computations were performed in accordance with the stability criteria established through the von Neumann analysis. An examination of the influence of high Reynolds numbers and Prandtl numbers on flow variables has been outlined.

Keywords

Flow variables, Heat transfer, Marker-And-Cell (MAC) method, Reynolds number, Prandtl numbers.

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