Mixed convection flows of tangent hyperbolic fluid past an isothermal wedge with entropy: A mathematical study

Abstract

The nonlinear, steady, and mixed convective boundary layer flow and heat transfer of an incompressible tangent hyperbolic non‐Newtonian fluid over an isothermal wedge in the presence of magnetic field are analyzed numerically using the implicit Keller‐Box finite‐difference technique. The entropy analysis due to MHD flow of a tangent hyperbolic fluid past an isothermal wedge and viscous dissipation is also included. The numerical code is validated with previous Newtonian studies available in the literature. Graphical and tabulated results are analyzed to study the behavior of the fluid velocity, temperature, concentration, shear stress, heat transfer rate, entropy generation number, and Bejan number for various emerging thermophysical parameters, namely Weissenberg number (We), power‐law index (n), mixed convection parameter (λ), pressure gradient parameter (m), Prandtl number (Pr), Biot number (γ), Hartmann number (Ha), Brinkmann number (Br), Reynolds number (Re), and temperature gradient (Π). It is observed that velocity, entropy, Bejan number, and surface heat transfer rate are reduced with the increase in the Weissenberg number, but temperature and local skin friction are increased. An increase in pressure gradient enhances velocity, entropy, local skin friction, and surface heat transfer rate, but reduces temperature and Bejan number. An increase in an isothermal power‐law index (n) is observed to increase velocity, Bejan number, and surface heat transfer rate, but it decreases temperature, entropy, and local skin friction. An increase in the magnetic parameter (Ha) is found to decrease temperature, entropy, surface heat transfer rate, and local skin friction, and it increases velocity and Bejan number. The research is applicable for coating materials in chemical engineering, for instance, robust paints, production of aerosol deposition, and water‐soluble solution thermal treatment.

MHD radiative ohmic heating nanofluid flow of a stretching penetrable wedge: A numerical analysis

“…The flow is subjected to a porous medium and a constant magnetic field intensity B = B 0 which is considered perpendicular to the wedge surface while the wedge surface is taken in the x ‐direction. The fluid flow equations over a stretching wedge expressed as 3,38–43 : $$$\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}=0,$$$ $$$u\frac{\partial u}{\partial x}+v\frac{\partial u}{\partial y}=U\frac{dU}{dx}+\upsilon \frac{{\partial }^{2}u}{\partial {y}^{2}}-\frac{\sigma * {B}_{0}^{2}}{{\rho }_{f}}(u-U)-\frac{\upsilon }{{\kappa }_{1}}(u-U)+\frac{1}{{\rho }_{f}}[{\rho }_{f}g{\beta }_{T}(T-{T}_{\infty })-({\rho }_{p}-{\rho }_{f\infty })g{\beta }_{C}(\bar{C}-{\bar{C}}_{\infty })]\sin \left(\frac{\Omega }{2}\right),$$$ …”

“…Rashidi et al 2 addressed non‐Newtonian fluid flow over a nonisothermal wedge using homotopy analysis. Ramesh Reddy et al 3 examined the implicit‐based mixed convective flow of non‐Newtonian hyperbolic tangent fluid flow over an isothermal wedge. Multiple slip effects are examined with chemically reactive magneto‐Carreau fluid flow over a wedge is addressed by Khan and Hashim 4 .…”

Heat and Mass Transfer Analysis of MHD Jeffrey Fluid over a Vertical Plate with CPC Fractional Derivative

“…Because creep resistance is present and it has high shear viscosity, it is classified as a shear-thinning fluid. After the shear stress exceeds the elastic limit, it behaves in a similar manner as a Newtonian fluid, as shown by Reddy et al [6]. Retardation and relaxation times in the Jeffrey fluid model are important for denoting the viscoelastic properties of polymeric materials, as shown by Bajwa et al [7].…”

Viscoelastic fluid flow over a horizontal flat plate with various boundary slip conditions and suction effects

“…Madhavi et al 3 analyzed the entropy analysis of MHD convection flow from a flat cylinder with slip. Ramesh Reddy et al 4 studied the entropy of mixed convection flows of tangent hyperbolic fluid across an isothermal wedge. Beg and Makinde 5 researched the Maxwell fluid flow and mass transfer in a Darcian porous channel.…”