International Journal of Computing Science and Applied Mathematics
Vol 8, No 2 (2022)

Numerical results of Crank-Nicolson scheme on unsteady nano fluid under the effect of Prandtl, Mixed Convection, and Magnetohydrodynamics

Mohammad Ghani (Universitas Airlangga)
Yolanda Norasia (Universitas Islam Negeri Walisongo)
Indira Anggriani (Institut Teknologi Kalimantan)
Mohamad Tafrikan (Universitas Islam Negeri Walisongo)
Zulaikha Zulaikha (Universitas Islam Negeri Walisongo)



Article Info

Publish Date
23 Sep 2022

Abstract

In this paper, we are interested in the numerical results on the temperature and velocity profiles over a sphere of unsteady nano fluid by dealing with the effect of Prandtl, mixed convection, and magnetohydrodynamics. We first employ the boundary layer theory to establish the continuity, momentum, and energy equations. We further solve those differential equations numerically by using the finite difference scheme of Crank-Nicolson and Thomas algorithm for the iteration technique. The temperature and velocity profiles are established graphically for the variations of Prandtl, mixed convection, and magnetohydrodynamics. The velocity profile decreases when the variations of Prandtl numbers increase. Moreover, the velocity profiles increase when the variations of mixed convection and magnetohydrodynamics are increased. The temperature profiles are decreased for all variations of Prandtl numbers, mixed convection and magnetohydrodynamics.

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Journal Info

Abbrev

ijcsam

Publisher

Subject

Computer Science & IT Education Mathematics

Description

(IJCSAM) International Journal of Computing Science and Applied Mathematics is an open access journal publishing advanced results in the fields of computations, science and applied mathematics, as mentioned explicitly in the scope of the journal. The journal is geared towards dissemination of ...