scholarly journals Influence of Heat Source/Sink on Free Convection in Annular Porous Region

2021 ◽  
Vol 39 (3) ◽  
pp. 841-850
Author(s):  
Anurag ◽  
Shyam Lal Yadav ◽  
Ashok Kumar Singh
Keyword(s):  
Heat Source ◽  
Darcy Number ◽  
Constant Heat Flux ◽  
Petroleum Engineering ◽  
Temperature Dependent ◽  
Porous Region ◽  
Annular Gap ◽  
Source Sink ◽  
Thermal Technique ◽  
Source And Sink

The significant interpretation of this model is to explore the influence of temperature-dependent heat source/sink on laminar free-convective flow in an annular porous region such as petroleum engineering, thermal technique and groundwater hydrology. For a unified solution of the Brinkman-Darcy model, the regulatory equations solved analytically by applying the variation of parameter technique in terms of Bessel's functions for the heat source and sink. Moreover, we have investigated the Variations of Darcy number, Heat source/sink and viscosity ratio in the presence of isothermal and constant heat flux sequentially. As a result, we received the critical value of the velocity for the radii ratio (R = 2.05 and 2.92) in both the cases of source and sink (S = 1.0 and Si = 0.1) respectively which is exhibited through the graphs. Further, the numerical outcomes present of the skin friction including volume flow with annular gap by the graphs as well as tables.

scholarly journals Simultaneous impacts of Joule heating and variable heat source/sink on MHD 3D flow of Carreau-nanoliquids with temperature dependent viscosity

2019 ◽  
Vol 8 (1) ◽  
pp. 356-367 ◽  
Author(s):  
J. V. Ramana Reddy ◽  
V. Sugunamma ◽  
N. Sandeep
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Joule Heating ◽  
Uniform Space ◽  
Weissenberg Number ◽  
Physical Parameters ◽  
Temperature Dependent ◽  
3D Flow ◽  
Temperature Dependent Viscosity ◽  
Source Sink

Abstract The 3D flow of non-Newtonian nanoliquid flows past a bidirectional stretching sheet with heat transfer is investigated in the present study. It is assumed that viscosity of the liquid varies with temperature. Carreau non-Newtonain model, Tiwari and Das nanofluid model are used to formulate the problem. The impacts of Joule heating, nonlinear radiation and non-uniform (space and temperature dependent) heat source/sink are accounted. Al-Cu-CH3OH and Cu-CH3OH are considered as nanoliquids for the present study. The solution of the problem is attained by the application of shooting and R.K. numerical procedures. Graphical and tabular illustrations are incorporated with a view of understanding the influence of various physical parameters on the flow field. We eyed that using of Al-Cu alloy nanoparticles in the carrier liquid leads to superior heat transfer ability instead of using only Aluminum nanoparticles. Weissenberg number and viscosity parameter have inclination to exalt the thermal field.

scholarly journals Numerical Simulation of Magnetic Dipole Flow Over a Stretching Sheet in the Presence of Non-Uniform Heat Source/Sink

2021 ◽  
Vol 9 ◽  
Author(s):  
Basma Souayeh ◽  
Essam Yasin ◽  
Mir Waqas Alam ◽  
Syed Ghazanfar Hussain
Keyword(s):  
Numerical Simulation ◽  
Heat Source ◽  
Magnetic Dipole ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Temperature Dependent ◽  
Flow Equations ◽  
Uniform Heat ◽  
Dependent Parameter ◽  
Source Sink

The main objective of current communication is to present a mathematical model and numerical simulation for momentum and heat transference characteristics of Maxwell nanofluid flow over a stretching sheet. Further, magnetic dipole, non-uniform heat source/sink, and chemical reaction effects are considered. By using well-known similarity transformation, formulated flow equations are modelled into OD equations. Numerical solutions of the governing flow equations are attained by utilizing the shooting method consolidated with the fourth-order Runge-Kutta with shooting system. Graphical results are deliberated and scrutinized for the consequence of different parameters on fluid characteristics. Results reveal that the temperature profile accelerates for diverse values of space dependent parameter, but it shows opposite behaviour for escalated integrity of temperature dependent parameter.

Influence of non-uniform heat source/sink and variable viscosity on mixed convection flow of third grade nanofluid over an inclined stretched Riga plate

2019 ◽  
Vol 6 (4) ◽  
Author(s):  
M K Nayak ◽  
A K Abdul Hakeem ◽  
B Ganga
Keyword(s):  
Boundary Layer ◽  
Heat Source ◽  
Thermal Boundary Layer ◽  
Third Grade ◽  
Fluid Temperature ◽  
Temperature Dependent ◽  
Uniform Heat ◽  
Riga Plate ◽  
Source Sink ◽  
The Impact

The present study focuses on the impact of non-uniform heat source/sink and temperature dependent viscosity modeled by Reynolds on Cattaneo-Christov heat flow of third grade nanofluid subject to an inclined stretched Riga plate. Fourth order R-K and shooting methods have been implemented to obtain the numerical solution of the transformed boundary layer equations. The achievability of the present study is that the material constants associated with third grade fluid augment the fluid motion and boils down the fluid temperature leading to ascending velocity boundary layer and descending thermal boundary layer. And viscosity parameter enhances the heat transfer rate from the plate. Furthermore, augmented space and temperature dependent heat source upsurges the fluid temperature and the related thermal boundary layer thickness.

scholarly journals Impact of Activation Energy and Temperature-Dependent Heat Source/Sink on Maxwell–Sutterby Fluid

2020 ◽  
Vol 2020 ◽  
pp. 1-15 ◽  
Author(s):  
T. Sajid ◽  
S. Tanveer ◽  
Z. Sabir ◽  
J. L. G. Guirao
Keyword(s):  
Activation Energy ◽  
Heat Source ◽  
Shooting Method ◽  
Stretching Sheet ◽  
Numerical Technique ◽  
Energy Parameter ◽  
Variable Thermal Conductivity ◽  
Temperature Dependent ◽  
Similarity Transformations ◽  
Source Sink

The present article aims to investigate the behaviour of Maxwell–Sutterby fluid past an inclined stretching sheet accompanied with variable thermal conductivity, exponential heat source/sink, magneto-hydrodynamics (MHD), and activation energy. By utilizing the compatible similarity transformations, the nondimensionless PDEs are converted into dimensionless ODEs and further these ODEs are tackled with the help of the bvp4c numerical technique. To check the legitimacy of upcoming results and reliability of the applied bvp4c numerical scheme, a comparison with existing literature and nonlinear shooting method is made. The numerical outcomes delivered here show that the temperature profile escalates due to an augmentation in the heat sink parameter and moreover mass fraction field escalates on account of an improvement in the activation energy parameter.

scholarly journals Role of heat source/sink on time dependent free convective flow in a coaxial cylinder filled with porous material: a semi analytical approach

2020 ◽  
Vol 9 (1) ◽  
pp. 67 ◽  
Author(s):  
Taiwo S. Yusuf ◽  
Gambo Dauda
Keyword(s):  
Heat Source ◽  
Time Domain ◽  
Convective Flow ◽  
Viscosity Ratio ◽  
Darcy Number ◽  
Coaxial Cylinder ◽  
Time Dependent ◽  
Free Convective Flow ◽  
Laplace Domain ◽  
Source Sink

In this article, the semi analytical solution for a fully developed time dependent free convective flow of a viscous incompressible fluid with heat source/sink in an infinite vertical coaxial cylinder saturated with porous material has been analyzed. The flow was induced by buoyancy forces due to temperature differences caused by the thermal insulation of the inner wall and constant heating of the outer wall. The Laplace transform technique was employed to transform the governing equation from time domain to the Laplace domain. Notwithstanding, a numerical inversing scheme known as Riemann-sum approximation (RSA), renowned for its precision has been utilized to transform the Laplace domain solution to time domain. The accuracy of the numerical technique employed was tested by presenting a comparison with the numerical values obtained using RSA, PDEPE, and steady state solution at large time. The effects of the various flow parameters on the flow formation are exhibited graphically. It is interesting to note that the fluid temperature and velocity increases as time passes. In addition, the velocity can be enhanced and minimized by gradually increasing Darcy number and the viscosity ratio respectively. However, the increase is seen to be more prominent when heat source is applied. The drag on both walls are seen to increase with increase in Darcy number, the reverse trend is observed with increase in the viscosity ratio.

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