Energy dissipation and Hall effect on MHD convective flow of nanofluid within an asymmetric channel with arbitrary wall thickness and conductance
Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, 583105, Ballari, India
2 Department of Mathematics, Ballari Institute of Technology and Management, 583105, Ballari, India
Accepted: 1 October 2021
Published online: 26 October 2021
The current study examines the consequences of viscous and Joule dissipations, and Hall current on steady buoyancy-driven MHD flow of Ti6Al4V-H2O-based nanofluid within an asymmetric channel with arbitrary wall thickness and conductance in the presence of a highly intense magnetic field. The boundary conditions for the induced magnetic field are also derived. The closed-form solutions for velocity field, induced magnetic field, temperature field, surface skin friction, mass flow rate and critical Grashof number are extracted from non-dimensional flow model analytically, while the numerical values of heat transport rate are obtained by mathematical computations using MATLAB software. The results of the study are thoroughly discussed with the assistance of graphs and tables. Such study has great importance in analyzing the heat transport behavior of the highly electrically conducting nanofluids. A special feature observed from this investigation is that, on incrementing the wall electrical conductivity, the fluid velocity reduces due to induction of magnetic drag. On raising the volumetric concentration of nanoparticles in the fluid, the fluid temperature raises and hence the fluid velocity rises due to generation of more thermal buoyancy force. The viscous dissipation leads to rise the fluid temperature due to rise in internal energy of the system.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021