scholarly journals The Effect of MHD and Brinkman Number on Laminar Mixed Convection of Newtonian Fluid Between Vertical Parallel Plates Channel

2020 ◽  
Vol 14 ◽  
Keyword(s):  
Mixed Convection ◽  
Newtonian Fluid ◽  
Vertical Channel ◽  
Convection Flow ◽  
Parallel Plates ◽  
Brinkman Number ◽  
Governing Equations ◽  
Material Parameters ◽  
Laminar Mixed Convection ◽  
Developing Flow

This study investigates MHD and Brinkman number on mixed convection flow in a two parallel-plates vertical channel with reference to laminar, thermal and hydrodynamical developing flow of Newtonian fluid. The boundaries are considered to be isothermal with equal temperatures. The governing equations are solved numerically. Also, their dependence upon certain material parameters have been studied. Velocity, temperature, pressure gradient and Nusselt number profiles have also been presented.

scholarly journals Laminar MHD Mixed Convection Flow Of Newtonian Fluid Between Vertical Parallel Plates Channel

2020 ◽  
Vol 14 ◽  
Keyword(s):  
Nusselt Number ◽  
Mixed Convection ◽  
Newtonian Fluid ◽  
Vertical Channel ◽  
Convection Flow ◽  
Parallel Plates ◽  
Mixed Convection Flow ◽  
Governing Equations ◽  
Material Parameters ◽  
Developing Flow

This study investigates MHD mixed convection flow in a two parallel-plates vertical channel with reference to laminar, thermal and hydrodynamical developing flow of Newtonian fluid. The boundaries are considered to be isothermal with equal temperatures. The governing equations are solved numerically. Also, their dependence upon certain material parameters have been studied. Velocity, temperature, pressure gradient and Nusselt number profiles have also been presented

Fully Developed Mixed Convection in a Vertical Channel Filled by a Nanofluid

2012 ◽  
Vol 134 (8) ◽  
Author(s):  
T. Grosan ◽  
I. Pop
Keyword(s):  
Mixed Convection ◽  
Vertical Channel ◽  
Brownian Diffusion ◽  
Convection Flow ◽  
Concentration Profiles ◽  
Parallel Plates ◽  
Mixed Convection Flow ◽  
Nanoparticle Concentration ◽  
Left Wall ◽  
Analytical Expressions

The steady fully developed mixed convection flow between two vertical parallel plates with asymmetrical thermal and nanoparticle concentration conditions at the walls filled by a nanofluid is studied. The nanofluid model used in this paper takes into account the Brownian diffusion and the thermophoresis effects, and the analysis is based on analytical solutions. Thus, analytical expressions for the fully developed velocity, temperature, and nanoparticle concentration profiles as well as for the Nusselt and Sherwood numbers at the left wall of the channel are given. A numerical solution has been also obtained and compared with the analytical solution, the agreement being very good.

scholarly journals G-JITTER INDUCED MIXED CONVECTION FLOW BETWEEN TWO PARALLEL PLATES WITH NEWTONIAN HEATING

2019 ◽  
Vol 1 (2) ◽  
pp. 107-110
Author(s):  
WAN NOR ZALEHA AMIN ◽  
Muhammad Qasim ◽  
Sharidan Shafie
Keyword(s):  
Mixed Convection ◽  
Separation Of Variables ◽  
Convection Flow ◽  
Fluid Temperature ◽  
Parallel Plates ◽  
Mixed Convection Flow ◽  
Newtonian Heating ◽  
Governing Equations ◽  
Left Wall ◽  
Cartesian Coordinate

This article deals with the mixed convection flow between two vertical parallel plates with the effect of g-jitter. Newtonian heating is considered on the left wall of the plate. The governing equations of heat and mass transfer are modelled in the Cartesian coordinate system with the effect of g-jitter. Non-dimensional variables are used to transform the governing equations together with the boundary layer condition. Separation of variables method are applied to provide the exact analytical solutions for the velocity, temperature and concentration profiles. The obtained solutions are computed to produce the graphical results. It is showed that due to an increasing value of wall temperature and thermal conjugate parameter, the fluid temperature increased. As wall concentration increases, the fluid concentration also increased. Meanwhile, the velocity increasing as mixed convection and thermal conjugate parameter increased. Contradict, the velocity decreasing as the value of buoyancy ratio and frequency increased.

Developing Laminar Mixed Convection With Solidification in a Vertical Channel

1988 ◽  
Vol 110 (2) ◽  
pp. 410-415 ◽  
Author(s):  
W. D. Bennon ◽  
F. P. Incropera
Keyword(s):  
Mixed Convection ◽  
Control Volume ◽  
Vertical Channel ◽  
Dimensionless Temperature ◽  
Parallel Plates ◽  
Thermally Induced ◽  
Thermal Buoyancy ◽  
Fluid Core ◽  
Laminar Mixed Convection ◽  
Induced Flow

Solidification of both high and low Prandtl number fluids (n-octadecane and aluminum) is considered for downward, mixed convection in the entrance region between vertical parallel plates symmetrically cooled below the fusion temperature. A continuum model is used to formulate a set of steady, two-dimensional partial differential equations, which include the influences of both axial diffusion and thermal buoyancy. The equations are solved using a fully elliptic, control-volume-based finite-difference scheme. Results reveal that, for a given phase change system, conditions are uniquely determined by a Grashof-to-Reynolds number ratio, Gr/Re, a Peclet number Pe, and a characteristic dimensionless temperature. Limiting cases involving both large and small values of Pe have been considered, and the effect of Gr/Re on thermally induced flow reversal in the fluid core has been determined.

Flow and heat transfer of couple stress fluid in a vertical channel in the presence of heat source/sink

2017 ◽  
Vol 27 (4) ◽  
pp. 795-819 ◽  
Author(s):  
Jawali Umavathi ◽  
Jada Prathap Kumar ◽  
Ioan Pop ◽  
Murudappa Shekar
Keyword(s):  
Heat Source ◽  
Mixed Convection ◽  
Heat Generation ◽  
Couple Stress ◽  
Vertical Channel ◽  
Brinkman Number ◽  
Governing Equations ◽  
Content Type ◽  
Source Sink ◽  
Convection Parameter

Purpose The purpose of this paper is to consider the problem of fully developed laminar mixed convection flow of a couple stress fluid in a vertical channel with the third-kind boundary conditions in the presence or absence of heat source/sink effect. Design/methodology/approach Through proper choice of dimensionless variables, the governing equations are developed. These governing equations are solved analytically by the differential transform method and numerically by the Runge–Kutta shooting method. Analytical solutions for the velocity and temperature profiles for heat generation and absorption of the problem are reported. Findings The mass flow rate and Nusselt numbers at both the left and right channel walls on mixed convection parameter, Brinkman number, couple stress parameter and heat generation/absorption parameter for equal and unequal Biot numbers are presented. Favorable comparisons of special cases with previously published work are obtained. It is found that velocity, temperature, mass flow rate and Nusselt number decrease with couple stress parameter and increase with mixed convection parameter and Brinkman number. Originality/value The work done in this paper is not done earlier to the authors’ knowledge. This is the first paper in which the sixth-order differential equation is solved using the semi-numerical method, which is a differential method.

Coupled Thermal Radiation and Mixed Convection Step Flow of Nongray Gas

2016 ◽  
Vol 138 (7) ◽  
Author(s):  
M. Atashafrooz ◽  
S. A. Gandjalikhan Nassab ◽  
K. Lari
Keyword(s):  
Mixed Convection ◽  
Radiative Transfer Equation ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Discrete Ordinate ◽  
Full Spectrum ◽  
Step Flow ◽  
Laminar Mixed Convection ◽  
Gray Medium ◽  
Hydrodynamic Behaviors

The main goal of this paper is to analyze the thermal and hydrodynamic behaviors of laminar mixed convection flow of a nongray radiating gas over an inclined step in an inclined duct. The fluid is considered an air mixture with 10% CO2 and 20% H2O mole fractions, which is treated as homogeneous, absorbing, emitting, and nonscattering medium. The full-spectrum k-distribution (FSK) method is used to handle the nongray part of the problem, while the radiative transfer equation (RTE) is solved using the discrete ordinate method (DOM). In addition, the results are obtained for different medium assumptions such as pure mixed convection and gray medium to compare with the nongray calculations as a real case. The results show that in many cases, neglecting the radiation part in computations and also use of gray simulations are not acceptable and lead to considerable errors, especially at high values of the Grashof number in mixed convection flow.

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