scholarly journals Joule Heating and Dissipation Effects on Magnetohydrodynamic Couple Stress Nanofluid Flow over a Bidirectional Stretching Surface

2021 ◽  
Vol 39 (1) ◽  
pp. 205-212
Author(s):  
Nainaru Tarakaramu ◽  
Panyam Venkata Satya Narayana ◽  
Dondu Harish Babu ◽  
Ganganapalli Sarojamma ◽  
Oluwole Daniel Makinde
Keyword(s):  
Thermal Radiation ◽  
Joule Heating ◽  
Three Dimensional ◽  
Nonlinear Thermal Radiation ◽  
Self Similarity ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Boundary Layer Equations ◽  
Runge Kutta Method ◽  
Flow Variables

This work examines the effects of non-linear thermal radiation and Joule heating on MHD three-dimensional visco-elastic nanofluid flow due to a surface stretching in lateral directions. A coupled nonlinear differential system is generated from the boundary layer equations by using self-similarity variables and is then solved numerically by using most powerful shooting technique with Runge Kutta method of fourth order. The computational results for the flow variables are plotted graphically and are discussed in detail for various governing parameters that emerged in the analysis. It is observed that the momentum of the visco elastic nanofluid is better than that of a viscous fluid. Thicker thermal and concentration boundary layers are formed for increasing nonlinear thermal radiation and temperature ratio parameters. Also the results are in very good agreement with the outcomes available in the literature as a particular case. This model may play a significant role in the field of manufacturing and engineering applications.

Influence of nonlinear thermal radiation and viscous dissipation on three-dimensional flow of Jeffrey nano fluid over a stretching sheet in the presence of Joule heating

2017 ◽  
Vol 6 (3) ◽  
Author(s):  
K. Ganesh Kumar ◽  
N.G. Rudraswamy ◽  
B.J. Gireesha ◽  
M.R. Krishnamurthy
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Ordinary Differential Equations ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Stretching Sheet ◽  
Three Dimensional ◽  
Nonlinear Thermal Radiation ◽  
Nonlinear Ordinary Differential Equations ◽  
Three Dimensional Flow

AbstractPresent exploration discusses the combined effect of viscous dissipation and Joule heating on three dimensional flow and heat transfer of a Jeffrey nanofluid in the presence of nonlinear thermal radiation. Here the flow is generated over bidirectional stretching sheet in the presence of applied magnetic field by accounting thermophoresis and Brownian motion of nanoparticles. Suitable similarity transformations are employed to reduce the governing partial differential equations into coupled nonlinear ordinary differential equations. These nonlinear ordinary differential equations are solved numerically by using the Runge–Kutta–Fehlberg fourth–fifth order method with shooting technique. Graphically results are presented and discussed for various parameters. Validation of the current method is proved by comparing our results with the existing results under limiting situations. It can be concluded that combined effect of Joule and viscous heating increases the temperature profile and thermal boundary layer thickness.

scholarly journals A Numerical Simulation of Silver–Water Nanofluid Flow with Impacts of Newtonian Heating and Homogeneous–Heterogeneous Reactions Past a Nonlinear Stretched Cylinder

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 295 ◽  
Author(s):  
Muhammad Suleman ◽  
Muhammad Ramzan ◽  
Shafiq Ahmad ◽  
Dianchen Lu ◽  
Taseer Muhammad ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Nonlinear System ◽  
Thermal Radiation ◽  
Concentration Field ◽  
Heterogeneous Reactions ◽  
Nonlinear Thermal Radiation ◽  
Newtonian Heating ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Highly Nonlinear

The aim of the present study is to address the impacts of Newtonian heating and homogeneous–heterogeneous (h-h) reactions on the flow of Ag–H2O nanofluid over a cylinder which is stretched in a nonlinear way. The additional effects of magnetohydrodynamics (MHD) and nonlinear thermal radiation are also added features of the problem under consideration. The Shooting technique is betrothed to obtain the numerical solution of the problem which is comprised of highly nonlinear system ordinary differential equations. The sketches of different parameters versus the involved distributions are given with requisite deliberations. The obtained numerical results are matched with an earlier published work and an excellent agreement exists between both. From our obtained results, it is gathered that the temperature profile is enriched with augmented values radiation and curvature parameters. Additionally, the concentration field is a declining function of the strength of h-h reactions.

scholarly journals Nonlinear convection in nano Maxwell fluid with nonlinear thermal radiation: A three-dimensional study

2018 ◽  
Vol 57 (3) ◽  
pp. 1927-1935 ◽  
Author(s):  
B. Mahanthesh ◽  
B.J. Gireesha ◽  
G.T. Thammanna ◽  
S.A. Shehzad ◽  
F.M. Abbasi ◽  
...  
Keyword(s):  
Thermal Radiation ◽  
Three Dimensional ◽  
Maxwell Fluid ◽  
Nonlinear Thermal Radiation ◽  
Nonlinear Convection

Entropy generation optimisation in the nanofluid flow of a second grade fluid with nonlinear thermal radiation

Pramana ◽  
2019 ◽  
Vol 93 (4) ◽  
Author(s):  
Tasawar Hayat ◽  
Mehreen Kanwal ◽  
Sumaira Qayyum ◽  
M Ijaz Khan ◽  
Ahmed Alsaedi
Keyword(s):  
Thermal Radiation ◽  
Entropy Generation ◽  
Second Grade ◽  
Nonlinear Thermal Radiation ◽  
Second Grade Fluid ◽  
Nanofluid Flow ◽  
Grade Fluid
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