Similarity solutions of unsteady mixed convective boundary layer flow above a horizontal porous surface with the effect of suction
By: Pervin, Most. Sharifa
.
Contributor(s): Hossain, M.M. Touhid | Md. Hasanuzzaman.
Publisher: Prayagraj Pushpa Publishing House 2022Edition: Vol.26 April.Description: 111-142p.Subject(s): Mechanical EngineeringOnline resources: Click here to access online
In:
JP journal of heat and mass transferSummary: Abstract:
In this study, the similarity solutions of unsteady mixed convective boundary layer flow, heat transfer, and mass transfer of viscous incompressible fluid above an isothermal horizontal plate are investigated through incorporating the effect of suction. The governing nonlinear partial differential equations of the specified problem are simplified by the usual Boussinesq approximation and are made dimensionless through similarity transformations by introducing non-dimensional coordinates and variables. Using the similarity technique, the system of equations is transformed into a set of coupled nonlinear ordinary differential equations. The transformed set of similarity ordinary differential equations is then solved numerically adopting the shooting method through ODE45 MATLAB software. The solutions are obtained for the non-dimensional velocity, temperature, and concentration fields for different selected values of the established dimensionless parameters and numbers, namely, suction parameter (Fw), modified buoyancy parameter (Ja), porosity parameter (K), modified thermal Grashof number (Gr), modified solute Grashof number (Gc), Prandtl number (Pr), Schmidt number (Sc), and other similarity parameters (A1, A2, and A3). The influences of different values of these established dimensionless parameters and numbers on the non-dimensional field variables are extensively investigated and exhibited graphically. The effects of suction on the parameters of physical interest like the coefficient of skin friction, local Nusselt number and local Sherwood are computed and presented numerically in the table. It is observed that the velocity, temperature, and concentration fields within the boundary layer decreased significantly with the increase of the suction parameter (Fw). Consequently, the increase of the suction parameter causes to increase the skin friction coefficient, the rate of heat transfer and the rate of mass transfer. The other dimensionless parameters/numbers have reasonable impact on the field variables as observed from the numerical results.
Keywords and phrases:
mixed convection, suction, Boussinesq approximation, similarity transformations, shooting method, MATLAB.
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Articles Abstract Database
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School of Engineering & Technology Archieval Section | Reference | Not for loan | 2022-0991 |
Abstract:
In this study, the similarity solutions of unsteady mixed convective boundary layer flow, heat transfer, and mass transfer of viscous incompressible fluid above an isothermal horizontal plate are investigated through incorporating the effect of suction. The governing nonlinear partial differential equations of the specified problem are simplified by the usual Boussinesq approximation and are made dimensionless through similarity transformations by introducing non-dimensional coordinates and variables. Using the similarity technique, the system of equations is transformed into a set of coupled nonlinear ordinary differential equations. The transformed set of similarity ordinary differential equations is then solved numerically adopting the shooting method through ODE45 MATLAB software. The solutions are obtained for the non-dimensional velocity, temperature, and concentration fields for different selected values of the established dimensionless parameters and numbers, namely, suction parameter (Fw), modified buoyancy parameter (Ja), porosity parameter (K), modified thermal Grashof number (Gr), modified solute Grashof number (Gc), Prandtl number (Pr), Schmidt number (Sc), and other similarity parameters (A1, A2, and A3). The influences of different values of these established dimensionless parameters and numbers on the non-dimensional field variables are extensively investigated and exhibited graphically. The effects of suction on the parameters of physical interest like the coefficient of skin friction, local Nusselt number and local Sherwood are computed and presented numerically in the table. It is observed that the velocity, temperature, and concentration fields within the boundary layer decreased significantly with the increase of the suction parameter (Fw). Consequently, the increase of the suction parameter causes to increase the skin friction coefficient, the rate of heat transfer and the rate of mass transfer. The other dimensionless parameters/numbers have reasonable impact on the field variables as observed from the numerical results.
Keywords and phrases:
mixed convection, suction, Boussinesq approximation, similarity transformations, shooting method, MATLAB.
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