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Present study carried out the speculative investigation of Hall current effects on MHD viscous fluid flow over stretching sheet with variable thickness. For heat transfer analysis, Christov–Cattaneo heat flux model is used instead of classical Fourier law. The mathematical formulation of current flow configuration yields the set of partial differential equations with higher order of nonlinearity. The modeled partial differential equations are switched into ordinary differential equations with the aid of an appropriate set of local similarity transforms. The resulting similarity equations are tackled numerically with the assistance of fifth order Runge–Kutta integration scheme. The expressions for axial velocity, transverse velocity and temperature are numerically computed and analyzed against variations in the controlling parameters with the help of graphs. To insight flow behavior in the neighbourer region of sheet surface, local skin friction coefficients and local Nusselt number are calculated. The effects of involving flow parameters on these interesting quantities are elaborated through tabular representations. A suitable correlation of current results with previously reported data (in limiting case) is presented for the validation of computed results. • Fluid velocities show depreciating trend due to the resistance provided by magnetic field whereas temperature profile upsurges. • Both wall friction factors grows verses Hartmann number while temperature gradient reduces against it. • Hall parameter provides opposition to transverse velocity while it slightly accelerates the axial velocity. • An increase in wall thickness parameter upsurges both components of velocities and temperature as well. • The nonlinearly stretching surface bestowed the favorable situation to fluid movement in axial direction while reverse pattern is depicted in case of transverse velocity. • Prandtl number declines the fluid temperature whereas wall heat flux coefficient intensifies. [ABSTRACT FROM AUTHOR]

Current analysis illustrates the systematic survey about the flow features imparted by viscous fluid between two coaxially rotated disks embedded in a permeable medium. Energy equation has been built by encompassing Cattaneo–Christov heat flux law.Prevailing non-linear PDEs are converted into non-linear ODEs by utilizing Von Karman transformations. Afterwards, the attained differential system is solved by capitalizing implicit finite difference scheme. Interpretation regarding the impact of dimensionless involved parameters on axial, tangential and radial components of velocity, thermal distribution is exhibited. Comparison for skin friction coefficients on walls of disks is also manifested. An excellent agreement with previous work is established which assures the reliance of present work. After getting through intellect about the variations it is disclosed that the magnitude of axial and radial velocities diminishes at lower disk contrary to upper disk for intensifying magnitude of Reynold number. Furthermore, the shear stress rate at walls of upper and lower disks is also deliberated. Increment in tangential component of velocity is also manifested for uplifts values of Reynold number. In case of thermal distribution, it is deduced that thermal field decrements for increasing of Pr and thermal relaxation parameter. It is worthy to mention that shear drag coefficient at wall of lower disk decreases conversely to the wall shear coefficient magnitude at wall of upper disk. • The skin friction coefficient at both disks is less for greater value of rotational parameter. • At the lower disk, the radial and axial velocity profile increases for maximum value of A 1. • Thermal effects are reduced for both thermal relaxation and Prandtl number. • For rotational and stretching parameters, the tangential velocity profile increases at disk. [ABSTRACT FROM AUTHOR]

The magnetized flow field statistics of hydrodynamic forces subject to the grooved channel is debated in the present pagination. To be more specific, the grooved channel as a computational domain is considered. The fluid flow is initiated with the parabolic velocity profile at an inlet of the grooved channel. The right wall of the channel is entertained with notable Neumann condition. The velocity of the rest of the walls is taken zero. Both square and circular shaped cylinders are placed fixed in between the grooved channel. The whole design is mathematically controlled in terms of coupled non-linear differential equations. The numerical solution is proposed by utilizing the finite element method commercially. The LBB-stable finite pair is used for the approximation of primitive variables namely, the velocity and pressure. The obtained outcomes are offered through both the line graphs and contour plots. The drag and lift forces are evaluated by carrying line integration around the outer surface of square and circular shaped obstacles. It is noticed that in the grooved channel the obstacles experience an extreme maximum drag force. Further, the drag force is found to be an increasing function of the Hartmann number. • Magnetized liquid stream in the grooved channel is debated. • Square and circular shaped cylinders are taken as an obstacle. • Finite element analysis is performed by owing hybrid meshing. • Comparative benchmarking is debated for drag and lift coefficients. [ABSTRACT FROM AUTHOR]