Effects of aligned magnetic field and thermal radiation on an unsteady MHD Jeffrey nanofluid flow past an isothermal inclined plate

A. P. Lingaswamy^a, Annareddy  Sailakumari^b, Palle  Prathapa Reddy^c, Damodara Reddy Annapureddy^d, A. G. Gopinath<sup>e

a</sup> Department of Physics, G. Pulla Reddy Engineering College, Kurnool, Andhra Pradesh, India
^b Department of Mathematics, JNTUA College of Engineering, Anantapur, Andhra Pradesh, India
^c Department of Mathematics, Gopalan College of Engineering and Management, Bangalore, India
^d Mechanical Engineering Department, JNTUACE Pulivendula, Constitute College of Jawaharlal Nehru Technological University Ananthapuramu, Andhra Pradesh, India
^e Department of Humanities and Sciences, G. Pullaiah College of Engineering and Technology (Autonomous), Kurnool, Andhra Pradesh, India

Abstract: We explore the impact of the aligned magnetic field, buoyant force, and thermal radiation on the unsteady MHD-free convection of momentum and energy transmission in a viscous, incompressible, electrically conducting water-based Cu and TiO$_2$ Jeffrey nanofluid. We consider radiation absorption and thermo diffusion. The flow occurs along permeable objects with isothermal inclined plates, with Cu and TiO$_2$ in water being the focus. Analytic solutions for the governing equations of fluid velocity, temperature, and species concentration are derived using the perturbation method, considering initial and boundary conditions. Results for shear stress and the heat and mass transfer rates at the plate are presented graphically, along with tables for various flow characteristics.

Keywords: buoyant force, aligned magnetic field, isothermal plates, perturbation method.

MSC: 35Q35, 80A20,76S05

Received: 27.02.2025
Revised: 27.02.2025

DOI: 10.4213/tmf10959

 English version: Theoretical and Mathematical Physics, 2025, 223:3, 1016–1031

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