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This study comprises the flow of Ti6Al4N nanoparticle alloy allowed to flow within the microchannel kept at a certain angle. Engine oil is the base fluid in which nanodimensional particles are immersed. The flow is caused by the influence of linear and exponential heat sources. The microchannel is a permeable media with the suction/injection at the microchannel extremes. During the flow, the impact of the microstructure of these particles is concerned, thus reporting the rotational interaction amidst the particles. The obtained nonlinear equations are solved using the effective numerical method, namely, finite difference code improved by using the Lobatto IIIA formula and the findings are discussed using the graphs. The results attained claim that linear and exponential space‐dependent heat source parameter has augmented the thermal profile. Also, consideration of the couple stress of the fluid is known to retard the flow.

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The study of entropy generation in the fluid flow has great importance in the field of engineering. The present analysis is to investigate the entropy production in Casson fluid flow in a vertically placed porousfilled microchannel. The flow is influenced by the nonlinear radiation and exponential heat source. Viscosity is kept varying throughout the flow. The equations which govern the considered flow are nonlinear and are nondimensionalized by considering the appropriate nondimensional variables. The flow problem is tackled by converting the ordinary differential equation (ODE) by assigning the new variables.The flow problem is tackled by using the effective mechanism which involves the finite difference technique by converting the equations into a set of firstorder ODE. The results attained are discussed using the graphs. It is noted that by maintaining the lesser values for the Casson parameter and mixed convection parameter, entropy production can be reduced. The Bejan number profile has the highest magnitude for the variation of mixed convection parameter and the same is found to be less for the nonlinear radiation parameter.

This article examines the inclined magnetic field effect on the flow of micropolar nanofluids in a vertical channel with convective boundary conditions and heat source or sink. Thermodynamics second law is employed to analyze the aspects of entropy generation. The governing differential equations are modified into dimensionless form by using suitable nondimensional variables. These transformed equations are solved by implementing the differential transform technique. The results are analyzed graphically. Skin friction and Nusselt number values are evaluated at the boundary walls of the channel. The major findings of the study are material parameter enhances the microrotation but suppresses both velocity and temperature. Magnetic parameter and angle of the implication of magnetic field decrease the velocity and microrotation. Material parameter and angle of imposed magnetic field minimize the entropy generation.