Nonlinear thermo-solutal convective flow of Casson fluid over an oscillating plate due to non-coaxial rotation with quadratic density fluctuation

Abstract

Purpose The nonlinear density thermal/solutal fluctuations in the buoyancy force term cannot be ignored when the temperature/concentration difference between the surface and fluid is large. The purpose of this paper is to investigate the nonlinear density fluctuations across a flowing fluid with heat mass transfer effects on a non-axial rotating plate. Therefore, the impact of nonlinear convection in the flow of Casson fluid over an oscillating plate has been analytically investigated. Design/methodology/approach The governing equations are modeled with the help of conservation equations of velocity, energy and concentration under the transient-state situation. The dimensional governing equations are non-dimensionalized by utilizing non-dimensional variables. Later, the subsequent non-dimensional problem has been solved analytically using Laplace transform method. Findings The effects of thermal Grashof number, solute Grashof number, nonlinear convection parameters, Casson fluid parameter, unsteady parameter, Prandtl number as well as Schmidt number on hydrodynamic, thermal and solute characteristics have been quantified. The numeric data for skin friction coefficient, Nusselt number and Sherwood number are presented. It is established the nonlinear convection aspect has a significant influence on heat and mass transport characteristics. Originality/value The effect of nonlinear convection in the dynamics of Casson fluid past an oscillating plate which is rotating non-axially is investigated for the first time.

Radiative flow of MHD non‐Newtonian fluid by utilizing the updated version of heat flux model under Joule heating

“…They have shown that solid volume fraction accelerates the velocity profile. Mahanthesh et al 16 investigated flow regime involving key point of this study is that variable density fluctuations by taking the characteristics of transportation of mass and thermal energy in Casson fluid past a rotating plate. Gireesha et al 17 discussed the comparative consequences in view of variable thermal radiation, nanostructures, and constant thermal radiation by adding the effects of temperature dependent heat source and chemical reaction a well as activation energy adopting shooting approach named as RK–Fehlberg method.…”

Exact Solution of Fractional Convective Casson Fluid Through an Accelerated Plate

“…Mahantesh et al, [12] investigated the convective flow of Casson fluid past an oscillating plate by taking non-coaxial rotation with quadratic density fluctuation as its boundary conditions. Firstly, the governing equations were transformed into a dimensionless form by utilizing some dimensionless variables.…”

Nonlinear convection flow of dissipative Casson nanofluid through an inclined annular microchannel with a porous medium

“…The nonlinear convection flow has gained an immense interest owing to its extensive range of applications in engineering, geophysics, and industrial manufacturing process. Considering these numerous applications, researchers like Thriveni et al 13 and Mahanthesh et al 14 discussed the effectiveness and significance of induced MHD of nanoparticles in thermal convective transport of the Casson fluid. Pantzali et al 15 experimentally addressed the significance of Cu–water nanoparticles on the surface of heat exchangers.…”