Open Access

ARTICLE

Unsteady Flow and Heat Transfer of a Casson Micropolar Nanofluid over a Curved Stretching/Shrinking Surface

Muhammad A. Sadiq^1,2,*, Nadeem Abbas³, Haitham M. S. Bahaidarah⁴, Mohammad Amjad⁵

1 Department of Mathematics, DCC-KFUPM, Dhahran, 31261, Saudi Arabia
2 Interdisciplinary Research Center for Hydrogen and Energy Storage, KFUPM, Dhahran, 31261, Saudi Arabia
3 Department of Mathematics, Riphah International University, Faisalabad Campus, Faisalabad, 38000, Pakistan
4 Mechanical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia
5 Department of Mathematics, AIR University, Islamabad, 44000, Pakistan

* Corresponding Author: Muhammad A. Sadiq. Email:

(This article belongs to the Special Issue: Electro- magnetohydrodynamic Nanoliquid Flow and Heat Transfer)

Fluid Dynamics & Materials Processing 2023, 19(2), 471-486. https://doi.org/10.32604/fdmp.2022.021133

Received 29 December 2021; Accepted 07 April 2022; Issue published 29 August 2022

Abstract

We present the results of an investigation into the behavior of the unsteady flow of a Casson Micropolar nanofluid over a shrinking/stretching curved surface, together with a heat transfer analysis of the same problem. The body force acting perpendicular to the surface wall is in charge of regulating the fluid flow rate. Curvilinear coordinates are used to account for the considered curved geometry and a set of balance equations for mass, momentum, energy and concentration is obtained accordingly. These are turned into ordinary differential equations using a similarity transformation. We show that these equations have dual solutions for a number of different combinations of various parameters. The stability of such solutions is investigated by applying perturbations on the steady states. It is found that high values of the Micropolar and Casson parameters cause the flow to move more slowly. However, when compared to a shrunken surface, a stretched surface produces a greater Micro-rotation flux.

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