Radiative and magnetohydrodynamics flow of third-grade viscoelastic fluid past an isothermal inverted cone in the presence of heat generation/absorption

Abstract

R a di a tiv e a n d m a g n e t o hy d r o dy n a mi c s flo w of t hi r d g r a d e vis c o el a s ti c flui d p a s t a n iso t h e r m al inv e r t e d c o n e in t h e p r e s e n c e of h e a t g e n e r a tio n/ a b s o r p tio n ABSTRACT A mathematical analysis is presented to investigate the nonlinear, isothermal, steady-state, free convection boundary layer flow of an incompressible third grade viscoelastic fluid past an isothermal inverted cone in the presence of magnetohydrodynamic, thermal radiation and heat generation/absorption. The transformed conservation equations for linear momentum, heat and mass are solved numerically subject to the realistic boundary conditions using the second-order accurate implicit finite-difference Keller Box Method. The numerical code is validated with previous studies. Detailed interpretation of the computations is included. The present simulations are of interest in chemical engineering systems and solvent and low-density polymer materials processing.

Entropy analysis of magnetohydrodynamic nanofluid transport past an inverted cone: Buongiorno's model

“…The KBM offers an increase in the consistency of explicit or semi-implicit frameworks, and it uses a completely implicit methodology. For further details, the readers can refer to References [38][39][40][41][42]. The present KBM solutions are validated with the previous Newtonian computations.…”

Entropy analysis of nanofluid magnetohydrodynamic convection flow past an inclined surface: A numerical review

“…Equations (13)–(16) are solved numerically using the implicit finite difference KBM 31 which is comparatively more efficient and popular than various numerical techniques and converges faster with second‐order accuracy. This method is well‐documented in many studies 37–41 . This method provides an improvement in accuracy on explicit or semi‐implicit schemes and utilizes customizable stepping in a fully implicit approach.…”

Computation of Eyring-Powell Micropolar Convective Boundary Layer Flow From an Inverted Non-Isothermal Cone: Thermal Polymer Coating Simulation

“…KBM has been used extensively in recent years in many nonlinear fluid dynamic problems including radiative magnetized non-Newtonian coating flow on a cone [48], variable viscosity flow on a cylinder [49], tangent hyperbolic fluid coating heat transfer [50], metallic nanofluid stretching sheet flow [51], oxytactic nano-bioconvection fuel cells [52], magnetized micropolar buoyancy-driven flow [53] fractional subdiffusion equations in applied mechanics [54]. Algebraic discretization details are omitted here for brevity.…”