scholarly journals Numerical simulation for the steady nanofluid boundary layer flow over a moving plate with suction and heat generation

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
M. Ferdows ◽  
MD. Shamshuddin ◽  
S. O. Salawu ◽  
K. Zaimi
Keyword(s):  
Heat Generation ◽  
Volume Fraction ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Moving Plate ◽  
Flow Equations ◽  
Similarity Transformations ◽  
Layer Flow ◽  
Matlab Package ◽  
Steady Laminar

AbstractIn the study, the steady, laminar, incompressible, convective flow of a viscous fluid over a moving plate is investigated theoretically by adopting different types of nanoparticles. Radiation, internal heat generation and viscous dissipation effects are considered in the energy modeled equation. The governing flow equations for the momentum and temperature are reduced to dimensionless form via similarity transformations. The solutions to the resultant equations alongside with the transformed boundary conditions are numerically obtained using MATLAB package bvp4c. Validation with earlier studies are done for the non-internal heat generation case for two distinct nanoparticles of type Cu-water and Al-water. Extensive visualization of flow rate and heat distributions for various emerging parameters are examined. Temperature is consistently enhanced with a rising Eckert number of both types of nanofluids, whereas it is strongly reduced with rising values of radiation term. Heat transfer coefficient is consistently increased with a nanoparticle volume fraction of high convective heat in the medium.

Boundary layer flow of a nanofluid past a horizontal flat plate in a Darcy porous medium: A Lie group approach

2019 ◽  
Vol 234 (8) ◽  
pp. 1545-1553 ◽  
Author(s):  
M Ferdows ◽  
Hossam A Nabwey ◽  
AM Rashad ◽  
MJ Uddin ◽  
Faris Alzahrani
Keyword(s):  
Porous Medium ◽  
Volume Fraction ◽  
Dimensionless Temperature ◽  
Continuous Group ◽  
Convective Boundary ◽  
Similarity Transformations ◽  
New Findings ◽  
Layer Flow ◽  
Fifth Order ◽  
Steady Laminar

This research paper addresses the two-dimensional steady laminar incompressible free convective flow of a nanofluid past a horizontal plate saturated in the porous medium, where both the thermal and the mass convective boundary conditions are taken into consideration. Mathematical modeling via similarity transformations (which was developed using one-parameter continuous group of transformation) was applied to obtain a reduced mathematical model, which describes the problem. The solutions of the reduced system were obtained by a numerical method called the fourth- and fifth-order Runge–Kutta–Fehlberg method with the aid of computational software called Maple version 13. The resulting distributions of dimensionless temperature, velocity, and nanoparticle volume fraction are studied graphically to demonstrate the effect of pertinent parameters. Moreover, some of the new findings are shown in graphs. An excellent agreement was found after comparing the results with the previous literature, which assures the validity of the analysis. It is found that the flow is accelerated with an increase in thermal and mass convective parameters. Temperature and concentration are enhanced for rising values of (thermal and concentration) conjugate parameters.

scholarly journals Similarity Solutions for an Internal Heat Generation, Thermal Radiation and Free Convection Unsteady Boundary Layer Flow over a Vertical Plate

2016 ◽  
Vol 8 (3) ◽  
pp. 341-353 ◽  
Author(s):  
M. Y. Ali ◽  
N. M. R. Zahed ◽  
M. N. Uddin ◽  
M. J. Uddin
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Heat Generation ◽  
Boundary Layer Flow ◽  
Vertical Plate ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Unsteady Boundary Layer ◽  
Layer Flow

The present paper deals with possible similarity solution of unsteady boundary layer flow over a vertical plate in the presence of internal heat generation, thermal radiation and buoyancy force. Under suitable similarity transformations, the non-linear partial differential equations are transformed into a set of ordinary differential equations. The transformed ordinary differential equations with boundary conditions are then solved numerically by using sixth order Runge-Kutta integration scheme. The effects of the governing parameters on the flow and thermal fields are investigated and shown graphically for various parameters in the velocity and the temperature distributions. The most essential case is discussed in this paper.

Effect of MHD on the flow and heat transfer characteristics of nanofluid in a grooved channel with internal heat generation

2019 ◽  
Vol 29 (4) ◽  
pp. 1403-1431 ◽  
Author(s):  
Mohammad Sadegh Dehghani ◽  
Davood Toghraie ◽  
Babak Mehmandoust
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Heat Generation ◽  
Volume Fraction ◽  
Convective Heat Transfer Coefficient ◽  
Internal Heat ◽  
Reynolds Numbers ◽  
Internal Heat Generation ◽  
Content Type ◽  
Flow And Heat Transfer

Purpose The purpose of this study is numerical simulation of magnetohydrodynamics (MHD) water–Al2O3 nanofluid mixed convection in a grooved channel with internal heat generation in solid cylinders. Simulations were carried out at Reynolds numbers 50 ≤ Re ≤ 100, Hartmann numbers 0 ≤ Ha ≤ 15, Grashof numbers 5,000 ≤ Gr ≤ 10−4 and volume fraction 0 ≤ φ ≤ 0.04. The effect of Reynolds number and the influence of magnetic field and pressure drop on convective heat transfer coefficient were studied in different volume fractions of nanoparticles at different Reynolds numbers. Design/methodology/approach The results show that average Nusselt number increases by increasing Reynolds and Hartman numbers. Also, when Hartman number increases, velocity profile becomes asymmetric. Pressure distribution shows that magnetic field applies Lorentz force at opposite direction of the flow, which causes asymmetric distribution of pressure. As a result, pressure in the upper half of the cylinder is higher than the lower half. Finally, velocity and temperature contours along the channel for different Hartmann numbers, volume fraction 3 per cent, Re = 50 and 100 and Gr = 10,000, are presented. Findings The effect of Reynolds number and the influence of magnetic field and pressure drop on convective heat transfer coefficient were studied in different volume fractions of nanoparticles at different Reynolds numbers. Originality/value Effect of MHD on the flow and heat transfer characteristics of Water–Al2O3 nanofluid in a grooved channel with internal heat generation in solid cylinders.

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