Jafar Hasnain

The hyperbolic tangent fluid model accurately captures the shear-thinning phenomenon and is widely used in both laboratory experiments and industrial applications. The primary aim of this research is to investigate the key characteristics of the peristaltic flow of electrically conducting hyperbolic tangent fluid through an asymmetric channel, considering the effects of homogeneous and heterogeneous reactions. Slip conditions at the sinusoidal channel walls are also incorporated. The resulting nonlinear equations are solved using the lubrication theory approximation, which is particularly relevant for predicting physiological characteristics, such as blood flow dynamics. Analytical solutions for velocity, pressure gradient, streamlines, and concentration distributions are obtained using the regular perturbation technique. The influence of various parameters on these distributions is presented through graphical analysis. Additionally, the pressure rise per wavelength along the channel walls is computed numerically. The results indicate that homogeneous and heterogeneous reaction parameters exhibit opposing effects on the concentration field. Furthermore, increasing the magnetic parameter leads to a reduction in fluid velocity. This study has practical applications, including the use of peristaltic pumps in the chemical and pharmaceutical industries, particularly for drug delivery systems.

In this analysis, the MHD flow and nth-order dispersion of chemically reactive species over a slendering stretching sheet are studied numerically. The partial slip boundary condition and non-linear form of thermal radiation are also considered in this research. To get non-linear ordinary differential equations from the system of partial differential equations governing the flow, energy, and concentration, similarity transformations are applied. Using the shooting technique and the Runge-Kutta scheme, the resultant equations are integrated numerically. The numerical results in terms of temperature, velocity, and concentration are represented graphically. Results from this research indicate that an increase in the wall thickness parameter reduces momentum and heat transfer effects when a magnetic field is present.

This study examines the analysis of entropy generation in the magnetohydrodynamic oscillatory convective flow of hybrid nanofluid through a porous horizontal channel with velocity slip. The analysis incorporates suction at the cold wall and injection at the hot wall. Variable viscosity, thermal radiation, and viscous dissipation are also considered. Utilizing similarity transformations, the governing nonlinear partial differential equations are converted into ordinary differential equations, and exact solutions are obtained using Mathematica. Graphs are used to illustrate the impact that a variety of physical factors have on velocity, temperature, entropy generation, the Bejan number, skin friction, and the Nusselt number. The graphic results demonstrate that the fluid velocity is positively correlated with the cold wall slip parameter and negatively correlated with the hot wall slip parameter. There is an opposite relationship between fluid temperature and thermal radiation and an ascending relationship between fluid temperature and the Brinkman number. Findings from this study have important implications for better thermal management, device performance, and reliability as well as for optimizing microelectronic cooling systems.

In industrial and engineering fields including lamination, melt-spinning, continuous casting, and fiber spinning, the flow caused by a continually moving surface is significant. Therefore, the problem of ternary hybrid nanofluid flow over a moving surface is studied. This study explores the stability and statistical analyses of the magnetohydrodynamics (MHD) forced flow of the ternary hybrid nanofluid with melting heat transfer phenomena. The impacts of viscous dissipation, Joule heating, and thermal radiation are also included in the flow. Different fluids including ternary hybrid nanofluid, hybrid nanofluids, and nanofluids with base fluid ethylene glycol (EG) are examined and compared, where magnetite (Fe₃O₄) and silica (SiO₂) are taken as the magnetic nanomaterials while silver (Ag) is chosen as the nonmagnetic nanomaterial. The skin friction coefficient and the local Nusselt number are estimated through regression analysis. By employing similarity transformations, the governing partial differential equations are converted into non-linear ordinary differential equations. Then, the least square method is applied to solve the equations analytically. Dual solutions are established in a particular range of moving parameter λ. Due to this, a stability test is implemented to find the stable solution by using the bvp4c function in MATLAB software. It is found that the first solution is the stable one while the second is unstable. The use of ternary hybrid nanomaterials improves the heat transport rate. The increasing values of the Eckert number enlarge the heat passage. The fluid velocity and temperature profiles for nonmagnetic nanomaterials are higher than that of magnetic nanomaterials. The uniqueness and originality of this study stems from the fact that, to the best of the authors’ knowledge, it is the first to use this combination technique.

Peristalsis has gained significant attention due to its numerous applications in the medical field, engineering, and manufacturing industries. Therefore, the current work intends to look into the effects of variable liquid properties on the magnetohydrodynamics of peristaltic flow exhibited by viscous fluid through a tapered channel. The viscosity of the liquid differs over the thickness of the channel, and temperature-dependent thermal conductivity is considered. The constitutive relation for energy is formulated with the addition of viscous dissipation and heat generation/absorption. The assumption of velocity slip along with the convective boundary condition energizes the thermal system as well as the flow phenomena. The mathematical formulation is established on the grounds of low Reynolds number and long wavelength approximations. Perturbation solution were obtained for the resulting non-linear differential equations of momentum and energy for small values of variable viscosity and variable thermal conductivity. The effects of various relevant parameters on flow properties were investigated through graphical analysis. The results show that the maximum velocity does not occur in the middle of the tapered channel, but moves toward the upper wall with the increase in the variable viscosity difference between the walls. The application of viscosity is essential in many engineering and industrial processes.

This study looks at how thermal radiation and magnetic fields affect the generation of entropy in the unsteady flow of a tri-hybridized nanofluid across a plate that is moving vertically and has surface slippage and suction that changes over time. The movement of the plate aligns with fluid flow, and the far-away velocity increases exponentially following the small perturbation rule. The unsteadiness of the flow is attributed to the varying free stream velocity. A homogeneous magnetic flux acting transversely to the porous wall regulates the laminar and incompressible two-dimensional flow. The presence of tri-hybridized nanoparticles makes it possible to study how adding nanoparticles with different thermal properties, such as Cu, Fe ₃ O ₄ and TiO ₂ changes the way base fluids like water and kerosene flow and how heat moves through them. Using dimensionless variables, the mathematical model of the problem is transformed into a form amenable to an analytical solution. The solution is achieved with the help of two-term harmonic and non-harmonic functions. Several factors that influence fluid flow and heat transmission are examined and explored in depth. These include plate velocity, slippage parameter, nanoparticle volume fraction, thermal radiation and heat absorption. The findings show that ternary nanoparticles raise the temperature and speed of both water and kerosene more than hybrid nanoparticles. The increase in the volume fraction of nanomaterials also increases the temperature and velocity of both fluids. These results might be used to improve the efficiency of thermal management systems in a wide range of technical and industrial operations having heat transfer and fluid movement.

Cilia play an important role in many psychological processes such as locomotion, alimentation, circulation, respiration, and reproduction. Therefore, the present investigation is modeled to study the impact of velocity slip on the cilia motion of electrically conducting Williamson fluid in a curved channel. The walls of the channel are carpeted with cilia such that their coordinated beatings produce a metachronal wave. Moreover, the viscous dissipation effect is also observed through the heat transfer mechanism. The governing system of coupled partial differential equations with highly nonlinear terms is simplified using the long wavelength and low Reynolds number approximations. The numerical solutions of simplified normalized equations are obtained using the finite difference method with an incorporating relaxation algorithm. The outcomes regarding the influences of several physical parameters on the temperature, velocity, pumping characteristics, and stream function are examined through graphs. Furthermore, the skin friction and Nusselt number at the channel walls are determined for a variety of critical parameter assessments. It is concluded that the fluid velocity is diminished at the lower wall of the channel and enhanced at the upper wall of the channel by enhancing the values of the Weissenberg number. The Brickman number shows a stronger viscous dissipation effect, leading to an increase in the liquid temperature.