MHD Three Dimensional Darcy-Forchheimer Flow of a Nanofluid with Nonlinear Thermal Radiation

2019 ◽  
pp. 87-97 ◽  
Author(s):  
Nainaru Tarakaramu ◽  
P. V. Satya Narayana ◽  
B. Venkateswarlu
Keyword(s):  
Thermal Radiation ◽  
Three Dimensional ◽  
Nonlinear Thermal Radiation ◽  
Forchheimer Flow

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

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.

MHD three dimensional double diffusive flow of Casson nanofluid with buoyancy forces and nonlinear thermal radiation over a stretching surface

2017 ◽  
Vol 27 (12) ◽  
pp. 2858-2878 ◽  
Author(s):  
B.J. Gireesha ◽  
M. Archana ◽  
Prasannakumara B.C. ◽  
R.S. Reddy Gorla ◽  
Oluwole Daniel Makinde
Keyword(s):  
Thermal Radiation ◽  
Three Dimensional ◽  
Lewis Number ◽  
Nonlinear Thermal Radiation ◽  
Stretching Surface ◽  
Temperature Ratio ◽  
Content Type ◽  
Casson Nanofluid ◽  
Diffusive Flow ◽  
Double Diffusive

Purpose This paper aims to deal with the study of heat and mass transfer on double-diffusive three-dimensional hydromagnetic boundary layer flow of an electrically conducting Casson nanofluid over a stretching surface. The combined effects of nonlinear thermal radiation, magnetic field, buoyancy forces, thermophoresis and Brownian motion are taken into consideration with convective boundary conditions. Design/methodology/approach Similarity transformations are used to reduce the governing partial differential equations into a set of nonlinear ordinary differential equations. The reduced equations were numerically solved using Runge–Kutta–Fehlberg fourth-fifth-order method along with shooting technique. Findings The impact of several existing physical parameters such as Casson parameter, mixed convection parameter, regular buoyancy ratio parameter, radiation parameter, Brownian motion parameter, thermophoresis parameter, temperature ratio parameter on velocity, temperature, solutal and nanofluid concentration profiles are analyzed through graphs and tables in detail. It is found that the solutal component increases for Dufour Lewis number, whereas it decreases for nanofluid Lewis number. Moreover, velocity profiles decrease for Casson parameter, while the Nusselt number increases for Biot number, radiation and temperature ratio parameter. Originality/value This paper is a new work related to three-dimensional double-diffusive flow of Casson nanofluid with buoyancy and nonlinear thermal radiation effect.

scholarly journals Numerical Treatment for Darcy-Forchheimer Flow of Sisko Nanomaterial with Nonlinear Thermal Radiation by Lobatto IIIA Technique

2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Iftikhar Uddin ◽  
Rizwan Akhtar ◽  
Zhu Zhiyu ◽  
Saeed Islam ◽  
Muhammad Shoaib ◽  
...  
Keyword(s):  
Nusselt Number ◽  
Velocity Profile ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Fluid Model ◽  
Dynamical Analysis ◽  
Physical Parameters ◽  
Nonlinear Thermal Radiation ◽  
Sisko Fluid ◽  
Forchheimer Flow

In this study, the competency of numerical computational framework based on Lobatto IIIA technique is utilized for dynamical analysis of the Darcy-Forchheimer flow of Sisko nanomaterial with nonlinear thermal radiation. The resultant PDEs of the Sisko fluid model expressions are transformed into system of nonlinear ODEs by exploiting the similarity variables. Graphical representations and numerical illustrations are used to envisage the characteristics of various physical parameters of interest on velocity profile, nanoparticles concentration, and temperature distribution of Sisko fluidic system. In addition, skin friction and Nusselt number are numerically examined with observation that the material parameter of Sisko fluid increases the velocity profile as well as Nusselt number while decreasing temperature, concentration profiles, and skin friction coefficient.

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