Numerical analysis of MHD axisymmetric rotating Bodewadt rheology under viscous dissipation and ohmic heating effects

Abstract

In present research manuscript, analysis is presented for the influences of heat transition in a bodewadt flow over a penetrable disk numerically. Estimation parameters in current mathematical flow model include magnetic field parameter $$(0.1 \le M \le 1.2),$$ ( 0.1 ≤ M ≤ 1.2 ) , wall suction $$(1.7 \le A \le 6.7),$$ ( 1.7 ≤ A ≤ 6.7 ) , prandtl number $$(0.2 \le \Pr \le 5.0),$$ ( 0.2 ≤ Pr ≤ 5.0 ) , heat generation/absorption $${( - }0.9 \le Q \le 3.6),$$ ( - 0.9 ≤ Q ≤ 3.6 ) , eckert number $$(0 \le Ec \le 1.2),$$ ( 0 ≤ E c ≤ 1.2 ) , variable viscosity $${( - 100} \le \theta_{e} \le 100)$$ ( - 100 ≤ θ e ≤ 100 ) and thermal conductivity $${(0} \le \varepsilon \le 4.1).$$ ( 0 ≤ ε ≤ 4.1 ) . The repercussions of joule heating, wall suction, heat generation & absorption, magnetic field, viscous dissipation accompanying with variable characteristics of the fluid are also examined as well. Kinetics of viscous fluid with variable characteristics of fluid having solid body rotation over a permeable disk (having cylindrical geometry) are analyzed. We transformed the governing equations of heat transfer (accompanied by variable properties) and fluid motion in to self-similar non-dimensional differential equations by using the Von-Karman variables which are then further analyzed numerically by utilizing Adams Bashforth method. For a physical insight, results are manifested to scrutinize the behavior of velocity and temperature profiles for different emerging parameters graphically. Moreover, the values of nusselt number & skin friction co-efficient are also computed and physically explicated for the assorted parameters. Outcomes of current investigations are compared with prior work, to ensure the authenticity of the numerical method, and strong agreement is noted.

Thermal enhancement and numerical solution of blood nanofluid flow through stenotic artery

“…Different researchers 9 , 23 – 33 paid attention to mathematically analyze the fluid flow problems under addition of nanoparticles and different effects to enhance the heat transfer rate. Awais et al 34 investigated the impact of heat transportation over porous disk and calculated their solution numerically. Hussain et al 35 discussed the applications of nanoparticles through diseased artery.…”

Regression analysis of horizontal magnetic field in thermophysical convective flow of nanofluid

“…Magnetohydrodynamics (MHD) is the interconnection of the conducted liquid and magnetized field. The thermal flow of MHD fluid above a moving disk has fascinated the interest of various scientists, especially when the external implemented uniform magnetized field is along the axial directions [24][25][26][27]. The implementation of magnetic field along transversal direction across a spinning disk is primarily owing to the stabilizing intent of mean flow by suppressing its magnitude [28,29].…”

Comparative Analysis of Heat Transport Improvement Using Water and Ethylene Glycol Based Magnetized Nanoparticles Through Darcy-Forchheimer Porous Space with Various Features

“…With the use of von-Karman modifications, Bibi et al [14] performed a hypothetical assessment of the MHD Carreau fluid through a spinning disk. Here [15][16] are a few illustrative MHD implementations in various configurations.…”