Heat and mass transport of an advection-diffusion viscous fluid past a magnetized multi-physical curved stretching sheet with chemical reaction

ABSTRACT

Analysis of 2D magnetohydrodynamic flow of viscous fluid over a magnetized multi-physical curved mechanism is numerically conducted. The flow equations consist of a magnetic field transport, Maxwell’s equations, energy equation and concentration equation. Governing model is generated and establishes the boundary layer equations. Numerical computation by the Keller-Box shooting method is implemented with Jacobi’s iterative technique. The flow behaviours are anticipated against most interesting parameters. The novelty of this study focuses on the mathematical development of the flow problem with significant results. These results are applicable in manufacturing of stretchable materials.

KEYWORDS:

• Viscous fluid
• curved sheet
• advection-diffusion

Nomenclature

$\mathit{\rho }$	=	Density of the fluid
$\mathrm{\nabla }$	=	Curvilinear operator
$\mathbf{B}$	=	Magnetic flux
$B_x,B_r$	=	Magnetic flux in $\mathit{r}$- and $\mathit{x}$- direction
$\mathit{u},\mathit{v}$	=	velocity field in $\mathit{r}$- and $\mathit{x}$- direction
$\mathit{p}$	=	Pressure
$\mathit{\mu }$	=	Dynamic viscosity
$\mathit{E}$	=	Electric Current Density
$\mathit{\sigma }$	=	Permeability of the free space
$\mathit{\lambda }$	=	Magnetic diffusivity
$\mathit{\delta }$	=	Boundary layer thickness
$\mathrm{\Gamma }$	=	Magnetic constant
$\mathit{\beta }$	=	Magnetic diffusivity
$K_{\ast }$	=	Thermal conductivity
$q_{\ast }$	=	Heat flux
${\sigma }^{\ast }$	=	Stefan-Boltzmann constant
$k^{\ast }$	=	Spectral absorption coefficient
$\mathit{p}$	=	Pressure
$\mathit{k}$	=	Dimensionless Curvature
$\mathit{R}$	=	Radius of Curvature
$\mathit{\nu }$	=	Kinematic viscosity
$U_{inf}$	=	Free stream velocity
$\mathit{l}$	=	Length of the surface
${\mathbf{B}}_o$	=	Dimensionless magnetic flux
$\mathit{Re}$	=	Reynolds number
$T_o$	=	Surface temperature
$k_o$	=	First order reaction rate
$C_p$	=	Fluid specific capacity
$h_o$	=	Convective heat transport
$D_o$	=	Convective mass transport
$\mathit{\theta }$	=	Dimensionless temperature field
$\mathit{\psi }$	=	Dimensionless concentration field
$\mathit{h}$	=	Dimensionless magnetic field
$\mathit{g}$	=	Dimensionless velocity field
$\mathit{A}$	=	Analogous flux density
$\mathit{R}{e}_m$	=	Magnetic Reynolds number
$\mathit{pm}$	=	Magnetic Prandtl number

Disclosure statement

No potential conflict of interest was reported by the author(s).