The combined influence of nonlinear thermal radiation and thermal stratification on the dynamics of micropolar fluid along a vertical surface

Abstract

Purpose The purpose of this paper is to consider the problem of thermal destratification facing engineers and scientists during the motion of fluids which consist of rigid and randomly oriented particles suspended in a viscous medium under the influence of Lorentz force. This paper provides an insight into the non-linear transfer of thermal radiation within the boundary layer. Design/methodology/approach Similarity transformation and parameterization of the non-linear partial differential equation are carried out. The approximate analytical solution of the governing equation which models the free convective flow of strong and weak concentration of micro-elements in a micropolar fluid over a vertical surface is presented. Findings It is observed that the velocity and temperature distribution are decreasing properties of thermal stratification parameter St. Maximum local skin friction coefficients are ascertained at an epilimnion level (St=0) when the magnitude of thermal radiation is small. Thermal stratification parameter has no significant effect on the temperature distribution in the flow near a free stream. Originality/value The relationship between stratification of temperature and the transfer of thermal energy during the problem of thermal destratification facing engineers and scientist during the motion of fluids which consist of rigid and randomly oriented particles suspended in a viscous medium under the influence of Lorentz force is unravelled in this paper.

Mixed Convective Flow and Heat Transfer of a Dual Stratified Micropolar Fluid Induced by a Permeable Stretching/Shrinking Sheet

“…Table 1 elucidates the comparison of few values with Srinivasacharya and Upendar [ 28 ] when , , , and . Unlike the other works on boundary layer of micropolar fluid flow (see [ 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 30 , 31 , 32 ]), Srinivasacharya and Upendar [ 28 ] used a model with coupling number to represent the micropolar fluid. However, using the limiting values of the physical parameters, we manage to compare the present results with those by Srinivasacharya and Upendar [ 28 ] as presented in Table 1 .…”

“…Rashad et al [ 30 ] found that both skin friction coefficient and Nusselt number increased with a boost in thermal stratification, however a contrary result was obtained for the Sherwood number when the solutal stratification was enhanced. Recently, Koriko et al [ 31 ] studied the MHD micropolar fluid flow towards a vertical permeable stretching sheet with the presence of double stratification and nonlinear thermal radiation. The analysis showed that both fluid velocity and temperature decreased with an upsurge of thermal stratification parameter.…”

Stability Analysis and Dual Solutions of Micropolar Nanofluid over the Inclined Stretching/Shrinking Surface with Convective Boundary Condition

“…Some common daily life examples of micropolar fluids are ferrofluids, bubbly fluids, animal blood, liquid crystals, mixture of red and white cells, etc. [2,3]. Lukaszewicz [4] wrote a detailed book on micropolar fluid in which he explained that micropolar fluid contains five more viscosities of coefficients.…”

Rough Set Approach for Analyzing the Effect of Viscoelastic and Micropolar Parameters on Hiemenz Flow in Hydromagnetics

“…Then Eringen [16] extended his investigation of micropolar elasticity and many researchers and engineers focus their efforts in studying micropolar fluids as it has a great role in industrial applications Examples include exotic lubricants, food industry, biological and bio-medical sciences. For excellent review see [17][18][19].…”