Entropy minimization on magnetized Boussinesq couple stress fluid with non-uniform heat generation

Abstract

This article aims to investigate the generation of entropy for the magnetized coupled stress fluid passed through a permeable stretching cylinder that creates the condition of convective heat transfer. Additionally, in the uneven heat source in the flow field, we also analyzed our research. The properties of heat transfer taking into account in the perspective of thermal radiation. The main nonlinear partial differential equations (NPDE) become ordinary nonlinear differential equations by adopting the corresponding dimensionless variables. The recognized repeated shooting technique combined with the fourth-order standard Runge-Kutta integration solution to evaluate the resulting nonlinear ODE numerically. The velocity, temperature profile, streamline, number of local entropy generations, Bejan number, local friction coefficient, and Nusselt number effects of the new flow parameters are explained by graphs and tables. The flow system’s physical properties and the correlation between the parameters were clarified by using statistical methods. The results show that the Bejan number is reduced due to the magnetic source. Generation of entropy promotes the growth of the magnetic field and the Brinkman number, but the coupling stress aspect shows a double effect. The coupled stress parameter reduces the number of Nusselt by a fraction of 4.46%, while in the attendance of a magnetic field, the radiant heat transfer rate increases at a rate of 2.65%. In the attendance of a magnetic field, skin friction reduces the coupling stress factor by a rate of 24.67%. Besides, the current outcomes have been verified by previously published studies and are very acceptable. For the stretched cylinder, which has a curvature parameter of γ = 1.0, and for the flat, stretched surface, γ = 0.0, the thickness of the momentum and the thermal boundary layer are greater.

Analytical solution to boundary layer flow and convective heat transfer for low Prandtl number fluids under the magnetic field effect over a flat plate

“…n (28) Similarly, using Equations ( 20) and (22) we can obtain (31) k k (33) Since setting k to infinity is not possible, a large number, n, is chosen and entered into Equation ( 33) instead of ∞, with n determined by the necessary accuracy;…”

“…Kotha Gangadhar and collaborators have made significant contributions to the field of boundary layer convection process heat transfer enhancement. [21][22][23][24][25][26][27][28] Their work greatly advances our knowledge and practical application of nanofluids in heat transfer processes, encompassing both situations in which magnetic fields are absent and those in which they are present. The impact of nanoparticles on the thermal properties of fluids in systems containing microorganisms is investigated by Kotha Gangadhar and Chamkha.…”

Computational analysis of bio-convective eyring-powell nanofluid flow with magneto-hydrodynamic effects over an isothermal cone surface with convective boundary condition

“…Basha and Sivaraj [ 36 ], Wei-Feng Xia et al [ 37 ], and Fazal Haq [ 38 ] investigated the flow of non-Newtonian nanofluids over various geometries, considering the influence of magnetohydrodynamics (MHD) to improve the dispersion of heat and mass. Various boundary conditions were considered by several scholars [ [39] , [40] , [41] ] in their investigations of the heat and mass transfer aspects of forced and free convection problems. Numerical studies on the flow of non-Newtonian fluids across stretching surfaces with the impact of MHD were undertaken by Ijaz Khan et al [ 42 ] and Bharatkumar Manvi et al [ 43 ].…”

Numerical thermal study of ternary nanofluid influenced by thermal radiation towards convectively heated sinusoidal cylinder

“…Similarly, some of the studies related to nanoliquids that cover the heat transfer applications area are reported by many researchers (see Refs. [ [34] , [35] , [36] ]).…”