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An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity

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Abstract

This numerical study elaborate the Von Karman swirling flow of second grade fluid having temperature dependent viscosity. The governing non-linear partial differential equations converted into non-dimensional ordinary differential equations using suitable transformations. The system of resulting ordinary differential equations are solved using the well-known implicit finite difference scheme. Then the results are presented graphically and the impact of various involved parameters on velocity, temperature, and concentration profiles. Redial and transversal shear stress on the surface of the disk, local Nusselt and Sherwood numbers are presented through tables. It is found that Variable viscosity parameter \({\theta }_{\delta }\), Thermorpheratic parameter, Brownian motion and the suction parameter oppose the motion while the Non-Newtonian fluid parameter and the Prandtl number assist the fluid motion. Variable viscosity parameter enhance both temperature and concentration fields but reduces the magnitude of radial and transversal shear stresses. The results are compared with the existing results and found to be an excellent agreement.

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Authors and Affiliations

  1. Department of Mathematics, University of Azad Kashmir, Muzaffarabad, 13100, Pakistan

    A. Abbasi, M. Batool, W. Farooq & Z. Hussain

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Abbasi, A., Batool, M., Farooq, W. et al. An Implicit Finite Difference Analysis of Von Karman Flow of Second Grade Nanofluid with Temperature Dependent Viscosity. Int. J. Appl. Comput. Math 7, 183 (2021). https://doi.org/10.1007/s40819-021-01118-y

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