Abstract

A novel mathematical model is envisioned discussing the magnetohydrodynamics (MHD) steady incompressible nanofluid flow with uniform free stream velocity over a thin needle in a permeable media. The flow analysis is performed in attendance of melting heat transfer with nonlinear chemical reaction. The novel model is examined at the surface with the slip boundary condition. The compatible transformations are affianced to attain the dimensionless equations system. Illustrations depicting the impact of distinct parameters versus all involved profiles are supported by requisite deliberations. It is perceived that the melting heat parameter has a declining effect on temperature profile while radial velocity enhances due to melting.

Highlights

  • The study of magnetohydrodynamics (MHD) explains the magnetic features of electrically conducting fluids

  • This segment is prepared to investigate the impacts of involved parameters

  • We consider an incompressible steady MHD nanofluid flow over a thin needle immersed in permeable media and viscous dissipation in the existence temperature-dependent heat source/sink

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Summary

Introduction

The study of magnetohydrodynamics (MHD) explains the magnetic features of electrically conducting fluids. It affects the heat transfer and appears as Joule heating and Lorentz force. Saltwater, plasma, tumor therapy, radiation of X-ray, and electrolytes are examples of MHD. Many valuable works done have been published highlighting varied aspects of MHD. Hayat et al [1] highlight the unsteady MHD nanoliquid flow over a starching sheet in the attendance of viscous dissipation and stratification. Ramzan et al [2] discussed steady MHD

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