Transient Heat and Mass Transfer of Micropolar Fluid between Porous Vertical Channel with Boundary Conditions of Third Kind
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D. H. Doh
und
D. Prakash
Abstract
An investigation of heat and mass transfer characteristics of unsteady free convective flow of viscous incompressible micropolar fluid between the vertical porous plates in the presence of thermal radiation is carried out in the present work. The fluid is considered to be grey, absorbing–emitting but non scattering medium and the Cogley–Vincent–Gilles formulation is adopted to simulate the radiation component of heat transfer. The resulting system of equations is solved numerically with Crank–Nicolson implicit finite difference method. The effects of various physical parameters such as transient, micropolar parameter, radiation parameter, Reynolds number, Schmidt number, heat and mass transfer Biot numbers on the velocity, temperature and concentration field are discussed graphically.
Funding source: National Research Foundation of Korea
Award Identifier / Grant number: No. 2014R1A1A4A01005191
Award Identifier / Grant number: No. 2015H1C1A1035890
Funding statement: This work was supported by the National Foundation of Korea (NRF) grant funded by the Human Resource Training Program for Regional Innovation and Creativity through the Ministry of Education (NRF-2015H1C1A1035890).
Acknowledgement
The authors wish to express their sincere thanks to the honourable referees for their valuable comments to improve the quality of the paper.
Nomenclature
micropolar material constants
species concentration
specific heat (
acceleration due to gravity (
micro inertia density (
external convection/mass diffusion coefficients at the left wall (
external convection/mass diffusion coefficients at the right wall (
thermal conductivity (
rotational viscosity coefficient (
thickness of the channel (m)
dimensionless angular velocity
angular velocity, rad s−1
Prandtl number
radiative heat flux
cross flow Reynolds number
temperature (K)
temperature and concentration in hydrostatic state (K)
reference temperature and concentration (K)
suction/injection velocity (
velocities in x,y-directions (
axial and perpendicular coordinates (m)
dimensionless coordinate
- Greek Symbols
volumetric coefficient of thermal expansion (
micro rotational coupling coefficient (
kinematic viscosity (
density
dimensionless time
dimensionless temperature
micropolar parameter
micropolar material constant
- Subscripts
- i, j
nodes along
end boundary node along Y direction
condition at the wall
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Artikel in diesem Heft
- Frontmatter
- Dynamics of Two-Phase Dusty Fluid Flow Along a Wavy Surface
- Multiple Soliton Solutions, Soliton-Type Solutions and Hyperbolic Solutions for the Benjamin–Bona–Mahony Equation with Variable Coefficients in Rotating Fluids and One-Dimensional Transmitted Waves
- Nonhomogeneous Porosity and Thermal Diffusivity Effects on a Double-Diffusive Convection in Anisotropic Porous Media
- Unsteady Convective Boundary Layer Flow of Maxwell Fluid with Nonlinear Thermal Radiation: A Numerical Study
- Transient Heat and Mass Transfer of Micropolar Fluid between Porous Vertical Channel with Boundary Conditions of Third Kind
- Traveling Waves of DDEs with Rational Nonlinearity
- Numerical Investigation of Hydromagnetic Hybrid Cu – Al2O3/Water Nanofluid Flow over a Permeable Stretching Sheet with Suction
Artikel in diesem Heft
- Frontmatter
- Dynamics of Two-Phase Dusty Fluid Flow Along a Wavy Surface
- Multiple Soliton Solutions, Soliton-Type Solutions and Hyperbolic Solutions for the Benjamin–Bona–Mahony Equation with Variable Coefficients in Rotating Fluids and One-Dimensional Transmitted Waves
- Nonhomogeneous Porosity and Thermal Diffusivity Effects on a Double-Diffusive Convection in Anisotropic Porous Media
- Unsteady Convective Boundary Layer Flow of Maxwell Fluid with Nonlinear Thermal Radiation: A Numerical Study
- Transient Heat and Mass Transfer of Micropolar Fluid between Porous Vertical Channel with Boundary Conditions of Third Kind
- Traveling Waves of DDEs with Rational Nonlinearity
- Numerical Investigation of Hydromagnetic Hybrid Cu – Al2O3/Water Nanofluid Flow over a Permeable Stretching Sheet with Suction
