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WAVELET ANALYSIS OF VISCOELASTIC MAXWELL FLUID FOR CATTANEO - CHRISTOV HEAT FLUX MODEL

Lakshmi B. N.|Sumana Krishna Prasad|Asha C. S.|Achala L. Nargund|Laxmi Rathour|Lakshmi Narayan Mishra
장전수학회 (Jangjeon Mathematical Society)|2024.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제27권 제3호|pp. 485-510|DOI 10.17777/pjms.2024.27.3.007

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참고문헌

키워드

error analysisMaxwell fluidCattaneo–Christov heat flux modelChebyshev waveletsHaar waveletsquasilinearizationstretching surfaceMHDsuction/injection
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초록

The study has been carried out on the boundary layer flow and heat transfer analysis in an MHD viscoelastic Maxwell fluid using the Cattaneo–Christov heat flux model. The effect of MHD on the Maxwell fluid over a stretching surface is investigated in the presence of suction/injection parameter. The nonlinear system of governing equations along with the boundary conditions is reduced into a set of coupled ordinary differential equations using a suitable similarity transformation. The nonlinearity of the equations is dealt with using quasilinearization technique. The numerical solutions of resultant equations are determined using the Chebyshev wavelet collocation method and the Haar wavelet collocation method with the help of MATLAB software. The obtained results are compared and represented in terms of graphs and tables. The effect of various physical parameters such as elasticity parameter (Deborah number), heat flux relaxation time parameter, magnetic parameter (Hartmann number), viscous dissipation (Eckert number), Prandtl number, and suction/injection parameter on velocity and temperature profiles are well discussed. The numerical values of skin friction coefficient and wall temperature gradient are also tabulated and compared to existing literature in limiting case. Error analysis has been carried out to check the convergence of the numerical scheme.

Abstract

The study has been carried out on the boundary layer flow and heat transfer analysis in an MHD viscoelastic Maxwell fluid using the Cattaneo–Christov heat flux model. The effect of MHD on the Maxwell fluid over a stretching surface is investigated in the presence of suction/injection parameter. The nonlinear system of governing equations along with the boundary conditions is reduced into a set of coupled ordinary differential equations using a suitable similarity transformation. The nonlinearity of the equations is dealt with using quasilinearization technique. The numerical solutions of resultant equations are determined using the Chebyshev wavelet collocation method and the Haar wavelet collocation method with the help of MATLAB software. The obtained results are compared and represented in terms of graphs and tables. The effect of various physical parameters such as elasticity parameter (Deborah number), heat flux relaxation time parameter, magnetic parameter (Hartmann number), viscous dissipation (Eckert number), Prandtl number, and suction/injection parameter on velocity and temperature profiles are well discussed. The numerical values of skin friction coefficient and wall temperature gradient are also tabulated and compared to existing literature in limiting case. Error analysis has been carried out to check the convergence of the numerical scheme.

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