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The use of nanoparticles in heat transmission is an interesting research subject and many scholars have shown an interest in this topic. In accordance with the motivating relevance of nanomaterials, the current research advocates for an evaluation of Casson nanofluid using porous medium thermal analysis in conjunction with vibrant implementations of mixed convection through a chemical reaction. Additionally, a nonlinear suction/injection phenomenon is taken into consideration. A consistent flow pattern is created by the stretched porous structure. The extended Casson nanofluid model is used to identify the heat production of non-Newtonian fluids. The essential incentives for choosing the Casson nanofluid model are validated as it simultaneously achieves Casson fluid, nanofluid and porous medium outcomes. The convective transport of nanofluid has been addressed using convective temperature boundary conditions and convective flow. A dimensionless form with similarity variables is used to simplify the fundamental equations for the provided flow model. The fourth-order Runge–Kutta (RK) strategy is deployed to arrive at a numerical solution for simulated flow. The physical conveyance of flow variables is accessed visually. It is calculated from engineering quantities (i.e., skin friction, Nusselt number and Sherwood number) to generate the numerical values. The velocity declines with increasing porosity and material factors while opposite outcomes are witnessed for buoyancy factors (mixed convection and buoyancy ratio) and injection factor. [ABSTRACT FROM AUTHOR]

In this paper, we investigate time-dependent viscous fluid flow along a stretching horizontal plate with a magnetic field, viscous dissipation and chemical reaction are taken into account. A system of partial differential equations (PDEs) governs the flow problem. Using dimensionless variables, system of governing PDEs is transformed to dimensionless form. Finite difference method is the numerical method adopted for solving the system of PDEs with initial and boundary conditions. The impact of potential variables is examined and displayed graphically. The results suggest that greater Hartmann number reduces velocity and temperature, whereas raising chemical reaction parameter decreases concentration profile. Moreover, skin friction increases with Hartmann number values and Nusselt number, showing increase for growing Eckert and Prandtl numbers. [ABSTRACT FROM AUTHOR]

In this paper, a convective fluid flow mixed with different nanoparticles (NPs) flowing on a vertical plate is studied. The impacts of slip boundary wall, Newtonian heating, and magnetic field are also pondered. Using Fourier's rule of heat conductivity and Caputo-time (CT) fractional derivative (FD), the nondimensional governing equations for this mathematical model are obtained. The Laplace transformation (LT) technique is used to get a generalized solution to the equations of momentum and energy. The physical interpretation of velocity distribution in some particular cases is well recognized in the past research works and is also highlighted to scrutinize some further physical perception into the subject and to fortify the novelty of this research communication. Furthermore, graphical depictions are created using the mathematica program to assess the physical importance of the considered topic. As a result, we concluded that the blood-based aluminium oxide (A l 2 O 3) NPs show more decaying behavior as compared to titanium dioxide (Ti O 2) NPs for temperature and velocity profile. Moreover, changing the fractional parameter's value for a long period of time improves thermal and velocity profiles. [ABSTRACT FROM AUTHOR]

This research captures nonlinear thermo-solutal buoyancy (i.e., nonlinear mixed convection) impact in nanofluid flow based on magnetized Casson model. The generalized porosity concept (i.e., Darcy–Forchheimer relationship) is employed by considering incompressible liquid that saturates the porous space. Effects of thermophoresis, Robin conditions, thermo-solutal stratifications and Brownian diffusion are accounted. Consideration of transpiration phenomenon captures suction/injection aspects. Fluid mechanics basic laws are depleted to simplify the governing rheological expressions. A transformation procedure is then employed to convert the nonlinear governing partial systems into differential systems. Homotopy methodology is used to obtain analytical solutions and convergence is ensured. Graphical and tabular outcomes are presented to address the importance of emerging variables. [ABSTRACT FROM AUTHOR]