Vol.26, No.1, 2026, pp. 139–147
https://doi.org/10.69644/ivk-2026-01-0139

ANALYSIS OF HEAT AND MASS TRANSFER IN HYDROMAGNETIC HYBRID NANOFLUID FLOW OVER A PERMEABLE STRETCHING/SHRINKING CYLINDER WITH THERMO-DIFFUSION EFFECTS

Bharat Laxmi1, Khem Chand1 , Pankaj Thakur2* 

1) Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, INDIA

K. Chand https://orcid.org/0000-0002-6360-7729

2) Department of Mathematics, ICFAI University Baddi, Solan, Himachal Pradesh, INDIA

P. Thakur https://orcid.org/0000-0001-8119-2697 , *email: pankaj_thakur15@yahoo.co.in

 

Abstract

This study aims to investigate the heat transfer properties of hydromagnetic hybrid nanofluid flow subjected to thermo-diffusion effects around a stretching/shrinking cylinder. In this study, alumina (Al2O3) and copper (Cu) nanoparticles are used as a hybrid nanofluid, while water (H2O) acts as the base fluid. The governing nonlinear partial differential equations are transformed into linear ordinary differential equations using similarity transformations and are solved numerically by using the bvp4c function of MATLAB® software. This study analyses the effects of various physically controllable parameters, such as magnetic field, permeability parameter, Eckert number, Schmidt number, curvature parameter, Brownian motion parameter, thermophoresis parameter, stretching/shrinking, and suction/injection parameter on flow and heat transfer characteristics. The effects on these parameters, velocity, temperature, and concentration fields, have been graphically presented, and their physical interpretation has been provided. Additionally, the numerical solutions of key physical quantities, such as skin friction, Nusselt number, and Sherwood number, have been computed for various parameters and presented through graphs. The analysis shows that the magnetic field parameter has an opposite effect on the velocity profile. The temperature and concentration profiles also increase with the enhancement of the curvature parameter. It is also observed that the increase in hybrid nanofluid particles (Al2O3-Cu/H2O) enhances the velocity, temperature, and concentration profiles.

Keywords: • hydromagnetic • hybrid nanofluid • stretching/shrinking cylinder • thermo-diffusion effects • suction  

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