International Journal of Computing Science and Applied Mathematics-IJCSAM
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 (UIN Walisongo)
Indira Anggriani (Institut Teknologi Kalimantan)
Mohamad Tafrikan (UIN Walisongo)
Zulaikha Zulaikha (UIN Walisongo)



Article Info

Publish Date
15 Aug 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

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 ...