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One-parameter lie scaling study of carreau fluid flow with thermal radiation effects

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  • Saleem, Musharafa
  • Chaudhry, Qasim Ali
  • Almatroud, A. Othman

Abstract

A steady non-Newtonian Carreau fluid model is considered over a two-dimensional, semi-wide, extended nonlinear stretching surface with thermal radiation effects. By applying the hypothesis of boundary layers alongside all notions, we have a structure of PDEs in our legislation such as the law of conservation of mass, momentum, energy and concentration. With the help of the boundary layer approximation, we get the system of partial differential equations (PDEs). Then, through the application of Lie scaling, we transformed these PDEs to ordinary differential equations (ODEs). Then, these ODEs were solved numerically by using the bvp4c technique in MATLAB and analyzed the results. With an increase in the number of Weissenberg for n=0.5 (shear-thinning), we see that the fluid velocity has an increasing attitude. As, the amount of Weissenberg number increases, the velocity profile decreases at n=1.5 (shear-thickening). With n=1.5, the velocity and temperature profiles have been decreased by the suction parameter. As the Prandtl number varies, the temperature profile simultaneously increases (n=0.5) and decreases (n=1.5). The physical amounts are analyzed using graphs and tables. The convergence review was presented to illustrate that the conclusions were well understood.

Suggested Citation

  • Saleem, Musharafa & Chaudhry, Qasim Ali & Almatroud, A. Othman, 2021. "One-parameter lie scaling study of carreau fluid flow with thermal radiation effects," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003507
    DOI: 10.1016/j.chaos.2021.110996
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    References listed on IDEAS

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    1. Mahanthesh, B. & Animasaun, I.L. & Rahimi-Gorji, Mohammad & Alarifi, Ibrahim M., 2019. "Quadratic convective transport of dusty Casson and dusty Carreau fluids past a stretched surface with nonlinear thermal radiation, convective condition and non-uniform heat source/sink," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    2. Taha Aziz & F. M. Mahomed, 2017. "Applications of Group Theoretical Methods to Non-Newtonian Fluid Flow Models: Survey of Results," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-43, August.
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