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In this work numerical solutions using finite difference method of hybrid nanofluids (TiO2–Cu/Water) over an inclined plate are obtained. The nanoparticles are taken of volume fraction of size less than or equal to 0.05. Heat and mass transfers are studied. Chemical reaction and viscous dissipation effect are also examined. The results are computed and plotted for various parameters such as radiation, chemical reactions, and magnetohydrodynamics. The results of skin friction, rate of heat and mass transfers are computed in tables for Prandtl number 6.2 which corresponds to water and discussed in details. The present results can be used for comparison in future research for other non-Newtonian fluids models.

This study investigates the complex interplay between radiation and magneto-flow on a porous, perpendicular plate immersed in a viscoelastic Maxwell fluid. The significance lies in understanding how the Lorentz force shapes dynamics and energy transfer in such systems, which is crucial for various industrial applications. Utilizing a comprehensive model that accounts for heat generation and absorption, we transform partial differential equations into ordinary ones through flow similarity analysis, providing valuable insights into the system's behavior. Employing the bvp4c solver in MATLAB, we evaluate velocity and energy profiles in Maxwell fluid flow. Graphical representations allow for a thorough examination of the influence of thermophysical parameters. Our findings reveal an intensified velocity profile attributed to prolonged material relaxation times.Furthermore, temperature profiles progressively increase with higher radiation and porous parameters. These results hold significant implications for industrial applications, particularly in Maxwell fluids' heat transport studies. Insights from this research can inform the design and optimization of systems such as ovens, boilers, cross-flow heat exchangers, and solar panels, enhancing efficiency and performance. Overall, this study contributes novel insights that advance understanding beyond previous efforts in the literature, paving the way for further exploration in this field. The primary finding of this study indicates that as the Rayleigh number increases, the velocity profile experiences an increase, whereas the temperature profile shows a decrease.

Maxwell fluids display viscous flow on a long timescale but exhibit additional elastic resistance during rapid deformations. Among various types of rate-type fluids, the Maxwell fluid has achieved prominence in numerous study fields. This viscoelastic fluid has viscous and elastic properties. Due to their reduced complexity, this Maxwell fluid is utilized used in the polymeric industries. We have established a mathematical model based on the applications. This article examines the mathematical and graphical analysis for steady-state magnetohydrodynamic flow in a horizontal flat plate of Maxwell viscoelastic fluid for a permeable medium with heat and thermal radiation. The non-dimensional and similarity transformation used to frame the partial differential equations with restored ordinary differential equations. The shooting technique is originated to find solutions to nonlinear boundary value problems with the help of MATLAB software via the Runge-Kutta Fehlberg method. The primary idea behind this strategy is to change the boundary conditions of boundary value problems into initial value problems. Several plots illustrate the leading parameters such as Prandtl number (Pr), Deborah number (De), Eckert number (Ec), heat generation (Q), radiation (Rd), Lewis number (Le), magnetic parameter (M), and thermal slip condition (β) on the velocity profile and energy transfer behaviour. We validated our results with published work. The most significant impact of this study is that the Nusselt number drops as the Eckert number rises and climbs when heat radiation increases. The skin friction coefficient increases as Deborah number increases.

Here, we employ computational methods to study the impacts of heat production and radiation fascination on the movement of a chemically reactive flow of Maxwell fluid in a magnetic field via a vertically slanted permeable plate. A boundary layer approximation is carried out to construct a flow that accurately captures the time-independent equations for momentum, energy and concentration. Partial differential equations describe the path taken by the electrically conducting fluid as it moves through the porous media. The RK45 method is then used to assess the solutions once appropriate dimensionless variables have been applied. In addition, tables and graphs are used to clarify the physical contribution of important parameters like the Prandtl number (Pr), the Maxwell fluid parameter (β), the Lewis number (Le), the Rayleigh number (Ra), the magnetic parameter (M), the inclined plate (γ), the buoyancy ratio (Nr), the heat generation parameter (Q), the radiation parameter (Rd) and the chemical reaction parameter (Kr), the skin friction formulas and the Nusselt number are calculated, both used to quantify heat and mass transmission. Finally, a graphical representation of the change in magnetic parameters across a range of Rd embedded factor values is shown.