The major focus of this work is to examine the results of steady mixed convection flow of SiO 2 − Al 2 O 3 /water hybrid nanofluid near the stagnation point with the curved surface of radius R and mass suction S . Hybrid nanofluid is taken into consideration by suspending a couple of distinct nanoparticles (SiO 2 and Al 2 O 3 ) into pure water. Depending on similarity variables, the governing equations with associated boundary conditions are modified to formulate a normalized boundary value problem of coupled differential equations and the MATLAB problem solver bvp4c is efficient to resolve the resulting problem. From this study it is determined that the skin friction coefficient and local Nusselt number of hybrid nanofluid improves with high values of mass suction and nanoparticles concentration while increasing curvature K declines the skin friction coefficient and gives rise to a poor performance of heat transfer. Moreover, the improvement of thermal boundary layer and velocity boundary layer take place with powerful concentration of SiO 2 and Al 2 O 3 and greater values of curvature K . Some interesting results for the flat sheet ( K → ∞ ) were also computed.

Dual solutions for mixed convection flow of SiO2−Al2O3/water hybrid nanofluid near the stagnation point over a curved surface

Present communication aims to determine the impact of Cattaneo–Christov model and convective boundary on second-grade nanofluid flow alongside a Riga pattern. Zero mass flux is accounted at the solid surface of Riga pattern such that the fraction of nanoparticles maintains itself on strong retardation. The impact of Lorentz forces generated by Riga pate is also an important aspect of the study. The governing nonlinear problem is converted into ordinary problems via suitably adjusted transformations. Spectral local linearization method has been incorporated to find the solutions of the nonlinear problems. Variation in horizontal movement of the nanofluid, thermal distribution and concentration distribution of the nanoparticles has been noted for various fluid parameters. The results are plotted graphically. Outcomes indicate that the horizontal movement gains enhancement for elevated values of modified Hartman factor. Thermal state of the nanofluid and concentration of nanoparticles receive reduction for incremental values of relaxation time parameters. Numerical results for skin friction and heat flux have been reported in tabular form. The CPU run time and residual error are obtained to check the efficiency of the method used for finding the solution.

Numerical spectral examination of EMHD mixed convective flow of second-grade nanofluid towards a vertical Riga plate using an advanced version of the revised Buongiorno’s nanofluid model

Computational frame work of Cattaneo-Christov heat flux effects on Engine Oil based Williamson hybrid nanofluids: A thermal case study

The objectives of the present study are (i) to observe the duality of solutions, and (ii) to investigate the flow and heat transfer of the hybrid nanofluid past a shrinking cylinder in the appearance of Joule heating. The single phase nanofluid model with modified thermophysical properties are used for the mathematical model. The similarity transformation simplifies the model (PDEs) into similarity (ordinary) differential equations. bvp4c solver is used to compute the reduced equations. For the validation part, the analytical solution is developed using an exact analytical method and compared with the numerical values for several cases. First and second solutions are observable for the shrinking cylinder case only if suction parameter is applied. Meanwhile, only the first solution is found to be stable from the stability analysis. The application of high suction strength make the reduced heat transfer rate is lower for hybrid nanofluid (Cu-Al2O3/water) than alumina-water nanofluid but, opposite result is found for the skin friction coefficient. The addition of curvature parameter (flat plate to cylinder) can quicken the separation process of boundary layer. This results are conclusive to the pair of alumina and copper only.

M. Riaz Khan

Papers

Dual solutions for mixed convection flow of SiO2−Al2O3/water hybrid nanofluid near the stagnation point over a curved surface

Heat and mass transfer in MHD Williamson nanofluid flow over an exponentially porous stretching surface

MHD stagnation point flow of viscous nanofluid over a curved surface

MHD oblique stagnation point flow of nanofluid over an oscillatory stretching/shrinking sheet: existence of dual solutions

Comparative study on heat transfer in CNTs-water nanofluid over a curved surface