This paper investigates the stagnation point flow and heat transfer of MHD boundary layer Casson hybrid nanofluid through a porous space across an exponentially stretched cylinder. The heat source impact is also considered in the model. A 3-stage Lobatto IIIa formula, Bvp4c, is operated to obtain the numerical findings. The influences of dimensionless parameters, namely Prandtl number, Reynolds number, heat source parameter, and Casson fluid parameter on Skin-friction coefficient, velocity, thermal profile, and Nusselt number, are portrayed graphically and depicted through tables. The significant findings indicate that the hybrid Casson nanofluids have a higher thermal conductivity when compared to the Casson nanofluids. As a result, the Casson hybrid nanofluid fluid has a significant impact on increasing heat processes. It has been investigated that the coefficient of the absolute Skin friction for Casson hybrid nanofluid is raised up to 29% compared to Casson nanofluid. The effective heat transfer rate of Casson hybrid nanofluid is improved over 9% compared to Casson nanofluid. As the heat source and Casson fluid parameters are incremented, the numeric values of the Nusselt number reduce.

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The impacts of viscous dissipation, Brownian motion, and the thermophoresis caused by temperature gradient on the steady two-dimensional incompressible chemically reactive and radiative flow of traditional fluid through an exponentially stretched sheet embedded in a Darcy porous media are explored by approaching boundary layer analysis. A magnetic field effect is also addressed along the transverse direction of the horizontal stretched sheet. With the implementation of some suitable nondimensional quantities, the regulating nonlinear partial differential equations, which represent the flow geometry, are transformed into coupled nonlinear ordinary differential equations. To acquire the numerical findings from this set of equations, a three-stage Lobatto IIIa, in-built MATLAB scheme named, Bvp4c is used. The effects of the dimensionless physical factors on the flow, heat, and concentration profile, as well as on the coefficient of drag force and the rate of thermal and mass transit at the surface, are graphically and numerically depicted.The thermal profile, as well as the magnitude of the coefficient of the drag force and the Sherwood number, is found to be escalated with the Darcy-Forchheimer

The thermal aspects of 𝐶𝑢 − 𝐴𝑙2𝑂3/𝑤𝑎𝑡𝑒𝑟 hybrid nanofluid in a porous medium across a ver-tically stretched cylinder with the incorporation of heat sink/source impact are investigated in this numerical study. A magnetic field along the transverse direction of the stretching cylinder and the thermal buoyancy effect is considered in the flow problem. A pertinent similarity vari-able has been employed to simplify the boundary layer equations which govern the flow and convert the coupled nonlinear partial differential equations into a set of non-linear ordinary differential equations. The numerical results are computed using the 3-stage Lobatto IIIa tech-nique, Bvp4c. The impacts of non- dimensional parameters, including Prandtl number, heat source/sink parameter, magnetic parameter, porosity parameter, curvature parameter, ther-mal stratification parameter, and thermal buoyancy parameter on the velocity curve, thermal curve, skin-friction coefficient, and Nusselt number, are illustrated graphically and numeri-cally portrayed in tables. The important results demonstrate that hybrid nanofluids are more thermally conductive than nanofluids. Therefore, the hybrid nanofluid has a considerable im-pact on improving thermal developments. It has been found that the absolute skin friction of the hybrid nanofluid is up to 31% higher compared to the nanofluid. The heat transport rate of the hybrid nanofluid is 7.5% enhanced in comparison to the nanofluid. The influence of heat stratification of the hybrid nanofluid flow is appreciably significant.

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