Magnetically propelled Carreau fluid flow over Penetrable Sensor Surface Influenced by Thermal Radiation, Joule Heating and Heat Generation

2021 ◽  
Author(s):  
B J Gireesha ◽  
Nagaraja B ◽  
N Srikantha ◽  
N. G. Rudraswamy ◽  
Felicita Almeida
Keyword(s):  
Fluid Flow ◽  
Heat Source ◽  
Thermal Radiation ◽  
Power Law ◽  
Joule Heating ◽  
Numerical Solutions ◽  
Internal Heat ◽  
Sensor Surface ◽  
Carreau Fluid ◽  
Power Law Index

Abstract This examination emphasizes the analysis of thermal transmission of Carreau fluid flow on a permeable sensor surface equipped with radiation, Joule heating, internal heat source, and magnetic field. With the above effects and assumptions, the equations that administer the flow are formulated. Configured system of equations is productively reduced to system of ordinary differential equations. The reduced system is then dealt with the Runge-Kutta-Fehlberg 4th -5th order tool equipped by shooting technique. Derived numerical solutions are utilized to plot graphs and tables. The study concluded with some important findings such as power law index, thermal radiation parameter and heat source parameter enhance the thermal panel whereas Weissenberg number deescalates the same. The power law index and permeable velocity decrease the velocity panel significantly. Diagrammatic representation of streamlines of the flow has been given to strengthen the study. A detailed description has been produced about the results obtained in the study

Finite difference method for solving a physical problem in fluid flow

2020 ◽  
pp. 2150025
Author(s):  
Khadijah M. Abualnaja
Keyword(s):  
Thermal Conductivity ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Heat Source ◽  
Thermal Radiation ◽  
Power Law ◽  
Difference Method ◽  
Magnetic Parameter ◽  
Source Sink ◽  
Power Law Index

Interaction between nonuniform heat source/sink, magnetic field and thermal radiation with heat flux through the flow of non-Newtonian power-law fluid due to a linearly stretching sheet was studied numerically using an implicit finite difference method (FDM). The heat flux is assumed to depend on both the thermal conductivity and the thermal radiation. Besides, the effects of all governing parameters, such as the magnetic parameter, thermal conductivity parameter, the power-law index parameter, Prandtl number, the space-dependent heat source/sink parameter, the temperature-dependent heat source/sink parameter, and the radiation parameter, on the profiles of velocities and temperature are studied and discussed. In particular, thermal radiation was found to play a key role in the heat transfer characteristics and in the formation of thermal boundary layer. Generally, our numerical results reveal that both the velocity and temperature distributions are marginally influenced by both the magnetic parameter and power-law index. A good agreement is observed between our results via finite difference method and the previously published numerical results for some special case.

SECOND‐GRADE FLUID FLOW WITH POWER‐LAW HEAT FLUX AND A HEAT SOURCE

2013 ◽  
Vol 44 (8) ◽  
pp. 687-702 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir A. Shehzad ◽  
Muhammad Qasim ◽  
F. Alsaadi ◽  
Ahmed Alsaedi
Keyword(s):  
Heat Flux ◽  
Fluid Flow ◽  
Heat Source ◽  
Power Law ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Power Law Heat Flux

Implementation of DTM as a numerical study for the Casson fluid flow past an exponentially variable stretching sheet with thermal radiation

2021 ◽  
pp. 2150111
Author(s):  
Khadijah M. Abualnaja
Keyword(s):  
Fluid Flow ◽  
Thermal Radiation ◽  
Numerical Method ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Numerical Study ◽  
Transformation Method ◽  
Casson Fluid ◽  
Physical Parameters ◽  
Special Cases

This paper introduces a theoretical and numerical study for the problem of Casson fluid flow and heat transfer over an exponentially variable stretching sheet. Our contribution in this work can be observed in the presence of thermal radiation and the assumption of dependence of the fluid thermal conductivity on the heat. This physical problem is governed by a system of ordinary differential equations (ODEs), which is solved numerically by using the differential transformation method (DTM). This numerical method enables us to plot figures of the velocity and temperature distribution through the boundary layer region for different physical parameters. Apart from numerical solutions with the DTM, solutions to our proposed problem are also connected with studying the skin-friction coefficient. Estimates for the local Nusselt number are studied as well. The comparison of our numerical method with previously published results on similar special cases shows excellent agreement.

scholarly journals Radiative mixed convection flow of maxwell nanofluid over a stretching cylinder with joule heating and heat source/sink effects

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Saeed Islam ◽  
Arshad Khan ◽  
Poom Kumam ◽  
Hussam Alrabaiah ◽  
Zahir Shah ◽  
...  
Keyword(s):  
Brownian Motion ◽  
Heat Source ◽  
Mixed Convection ◽  
Joule Heating ◽  
Internal Heat ◽  
Convection Flow ◽  
Stretching Cylinder ◽  
Mixed Convection Flow ◽  
Maxwell Nanofluid ◽  
Source Sink

Abstract This work analyses thermal effect for a mixed convection flow of Maxwell nanofluid spinning motion produced by rotating and bidirectional stretching cylinder. Impacts of Joule heating and internal heat source/sink are also taken into account for current investigation. Moreover, the flow is exposed to a uniform magnetic field with convective boundary conditions. The modeled equations are converted to set of ODEs through group of similar variables and are then solved by using semi analytical technique HAM. It is observed in this study that, velocity grows up with enhancing values of Maxwell, mixed convection parameters and reduces with growing values of magnetic parameter. Temperature jumps up with increasing values of heat source, Eckert number, Brownian motion,thermophoresis parameter and jumps down with growing values of Prandtl number and heat sink. The concentration is a growing function of thermophoresis parameter and a reducing function of Brownian motion and Schmidt number.

scholarly journals Effect of Thermal Radiation on the Conjugate Heat Transfer from a Circular Cylinder with an Internal Heat Source in Laminar Flow

2021 ◽  
Author(s):  
Gheorghe Juncu
Keyword(s):  
Heat Transfer ◽  
Circular Cylinder ◽  
Heat Source ◽  
Thermal Radiation ◽  
Conjugate Heat Transfer ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Cylinder Surface ◽  
Model Equations ◽  
The Mathematical Model

The effect of thermal radiation on the two – dimensional, steady-state, conjugate heat transfer from a circular cylinder with an internal heat source in steady laminar crossflow is investigated in this work. P0 (Rosseland) and P1 approximations were used to model the radiative transfer. The mathematical model equations were solved numerically. Qualitatively, P0 and P1 approximations show the same effect of thermal radiation on conjugate heat transfer; the increase in the radiation – conduction parameter decreases the cylinder surface temperature and increases the heat transfer rate. Quantitatively, there are significant differences between the results provided by the two approximations.

scholarly journals Stability Analysis of MHD Carreau Fluid Flow over a Permeable Shrinking Sheet with Thermal Radiation

2019 ◽  
Vol 48 (10) ◽  
pp. 2285-2295 ◽  
Author(s):  
Rusya Iryanti Yahaya ◽  
Norihan Md Arifin ◽  
Siti Suzilliana Putri Mohamed Isa
Keyword(s):  
Fluid Flow ◽  
Stability Analysis ◽  
Thermal Radiation ◽  
Shrinking Sheet ◽  
Carreau Fluid

scholarly journals Finite Volume Simulation of Natural Convection for Power-Law Fluids with Temperature-Dependent Viscosity in a Square Cavity with a Localized Heat Source

2021 ◽  
Vol 39 (5) ◽  
pp. 1405-1416
Author(s):  
Hamza Daghab ◽  
Mourad Kaddiri ◽  
Said Raghay ◽  
Ismail Arroub ◽  
Mohamed Lamsaadi ◽  
...  
Keyword(s):  
Natural Convection ◽  
Heat Source ◽  
Finite Volume ◽  
Power Law ◽  
Numerical Study ◽  
Staggered Grid ◽  
Cooling Performance ◽  
Coupled Equations ◽  
Power Law Fluids ◽  
Power Law Index

In this paper, numerical study on natural convection heat transfer for confined thermo-dependent power-law fluids is conducted. The geometry of interest is a fluid-filled square enclosure where a uniform flux heating element embedded on its lower wall is cooled from the vertical walls while the remaining parts of the cavity are insulated, without slipping conditions at all the solid boundaries. The governing partial differential equations written in terms of non-dimensional velocities, pressure and temperature formulation with the corresponding boundary conditions are discretized using a finite volume method in a staggered grid system. Coupled equations of conservation are solved through iterative Semi Implicit Method for Pressure Linked Equation (SIMPLE) algorithm. The effects of pertinent parameters, which are Rayleigh number (103 ≤ Ra ≤ 106), power-law index (0.6 ≤ n ≤ 1.4), Pearson number (0 ≤ m ≤ 20) and length of the heat source (0.2 ≤ W ≤ 0.8) on the cooling performance are investigated. The results indicate that the cooling performance of the enclosure is improved with increasing Pearson and Rayleigh numbers as well as with decreasing power-law index and heat source length.

scholarly journals Impact of chemical reaction, thermal radiation and porosity on free convection Carreau fluid flow towards a stretching cylinder

2021 ◽  
Author(s):  
Yeou Jiann Lim ◽  
Sharidan Shafie ◽  
Sharena Mohamad Isa ◽  
Noraihan Afiqah Rawi ◽  
Ahmad Qushairi Mohamad
Keyword(s):  
Fluid Flow ◽  
Free Convection ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Stretching Cylinder ◽  
Carreau Fluid
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