scholarly journals On stretched magnetic flow of Carreau nanofluid with slip effects and nonlinear thermal radiation

2019 ◽  
Vol 8 (1) ◽  
pp. 340-349 ◽  
Author(s):  
K. Ganesh Kumar ◽  
G.K. Ramesh ◽  
B.J. Gireesha ◽  
A.M. Rashad

Abstract Present article reports the magnetohydrodynamic flow of Carreau nanofluid in the presence of nonlinear thermal radiation. In this model we incorporated slip condition on heat and mass boundary conditions. Similarity transformations are applied to convert the governing dimensional expressions into non-dimensional forms. Runge-Kutta-Fehlberg method of fourth–fifth order using shooting technique utilized to elaborate the numerical solutions of physical phenomenon.A comparative analysis is presented with the previous published data in special case for the justification of present results. The role of physical constraints on liquid velocity, temperature and concentration are discussed through numerical data and plots.

2018 ◽  
Vol 7 (2) ◽  
pp. 91-101 ◽  
Author(s):  
M. Archana ◽  
B. J. Gireesha ◽  
B. C. Prasannakumara ◽  
R.S.R. Gorla

Abstract The heat and mass transfer of rotating Casson nanofluid flow is incorporated in the present study. Influence of magnetic field, nonlinear thermal radiation, viscous dissipation and Joule heating effects are taken into the account. A set of nonlinear ordinary differential equations are obtained from the governing partial differential equations with the aid of suitable similarity transformations. The resultant equations are solved for the numerical solution using Runge-Kutta-Fehlberg fourth-fifth order method along with shooting technique. The impact of several existing physical parameter on velocity, temperature and nanofluid concentration profiles are analyzed through graphs and tables in detail. It is found that, velocity component decreases and temperature component increases for rotating parameter.


Author(s):  
Muhammad Imran ◽  
Umar Farooq ◽  
Taseer Muhammad ◽  
Sami Ullah Khan ◽  
Hassan Waqas

Author(s):  
B.C. Prasannakumara ◽  
M. Gnaneswara Reddy ◽  
M.V.V.N.L. Sudha Rani ◽  
M.R. Krishnamurthy

Abstract The main focus of the present study is to analyze the effect of chemical reaction and nonlinear thermal radiation on Maxwell fluid suspended with nanoparticles through a porous medium along horizontal stretching sheet. The governing partial differential equations of the defined problem are reduced into a set of nonlinear ordinary differential equations using adequate similarity transformations. Obtained set of similarity equations are then solved with the help of efficient numerical method fourth fifth order Runge-Kutta-Fehlberg method. The effects of different flow pertinent parameters on the flow fields like velocity, temperature, and concentration are shown in the form of graphs and tables. The detailed analysis of the problem is carried out based on the plotted graphs and tables. It is observed that an increase in the radiation parameter, temperature ratio parameter, Brownian motion parameter and thermophoretic parameter lead to increase in the thermal boundary layer thickness but quite opposite phenomenon can be seen for the effect of Prandtl number.


2021 ◽  
Vol 42 (4) ◽  
pp. 541-552
Author(s):  
M. G. Reddy ◽  
S. A. Shehzad

AbstractThis article intends to illustrate the Darcy flow and melting heat transmission in micropolar liquid. The major advantage of micropolar fluid is the liquid particle rotation through an independent kinematic vector named the microrotation vector. The novel aspects of the Cattaneo-Christov (C-C) heat flux and Joule heating are incorporated in the energy transport expression. Two different nanoparticles, namely, MoS2 and MgO, are suspended into the base-fluid. The governing partial differential equations (PDEs) of the prevailing problem are slackening into ordinary differential expressions (ODEs) via similarity transformations. The resulting mathematical phenomenon is illustrated by the implication of fourth-fifth order Runge-Kutta-Fehlberg (RKF) scheme. The fluid velocity and temperature distributions are deliberated by using graphical phenomena for multiple values of physical constraints. The results are displayed for both molybdenum disulphide and magnesium oxide nanoparticles. A comparative benchmark in the limiting approach is reported for the validation of the present technique. It is revealed that the incrementing material constraint results in a higher fluid velocity for both molybdenum disulphide and magnesium oxide nanoparticle situations.


2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Muhammad Shoaib ◽  
Muhammad Asif Zahoor Raja ◽  
Muhammad Touseef Sabir ◽  
Saeed Islam ◽  
Zahir Shah ◽  
...  

Abstract This research investigates the heat and mass transfer in 3-D MHD radiative flow of water based hybrid nanofluid over an extending sheet by employing the strength of numerical computing based Lobatto IIIA method. Nanoparticles of aluminum oxide (Al2O3) and silver (Ag) are being used with water (H2O) as base fluid. By considering the heat transfer phenomenon due to thermal radiation effects. The physical flow problem is then modeled into set of PDEs, which are then transmuted into equivalent set of nonlinear ODEs by utilizing the appropriate similarity transformations. The system of ODEs is solved by the computational strength of Lobatto IIIA method to get the various graphical and numerical results for analyzing the impact of various physical constraints on velocity and thermal profiles. Additionally, the heat transfers and skin friction analysis for the fluid flow dynamics is also investigated. The relative errors up to the accuracy level of 1e-15, established the worth and reliability of the computational technique. It is observed that heat transfer rate increases with the increase in magnetic effect, Biot number and rotation parameter.


2018 ◽  
Vol 388 ◽  
pp. 204-222 ◽  
Author(s):  
Bijjanal Jayanna Gireesha ◽  
Basavarajappa Mahanthesh ◽  
Koneri L. Krupalakshmi

The present investigation addresses the mixed convection two-phase flow of dusty Oldroyd-B fluid towards a vertical stretching surface in the presence of convective boundary condition and nonlinear thermal radiation. The fluid and dust particles motion is coupled only in the course of drag and heat transfer between them. The Stokes linear drag theory is employed to model the drag force. The numerical solutions based on the Runge-Kutta-Fehlberg 45 scheme with shooting method are presented for both fluid and particle phase velocity and temperature fields. Further, numerical results are obtained for skin friction factor and local Nusselt number of prescribed values of pertinent parameters. The results are presented graphically and the physical aspects of the problem are analyzed. The obtained results are validated with existing results and found to be in good agreement. It is found that the mass concentration of the dust particle parameter plays a key role in controlling flow and thermal behaviour of non-Newtonian fluids.


1999 ◽  
Vol 5 (4) ◽  
pp. 273-281 ◽  
Author(s):  
Jae Won Kim

A study is made of steady state flow of a viscous fluid, driven by a rotating endwall disk having radial blades in a finite geometry. Numerical solutions to the Navier-Stokes equations are obtained for the flows in the cylindrical cavity. The bottom endwall disk of the vessel is impulsively rotating at a constant rotating speed ft with respect to the longitudinal axis of it. Details of the three components velocity field are examined at high Reynolds number for its engineering application. The main parameter for this study is the number of the radial blades of a rotating pulsator. The numerical results for the fluid flows and pressure distribution, for both an odd and an even number of the blades are procured. The present output offers an optimal number of the blades for rotating machinery such as agitator. The grid-net for the numerical computation is constructed on a body-fitted coordinate system transformed from physical coordinates. It is also flexible to suit any number of blades attached on the rotating bottom disk. The algorithm for the numerical computation is based on the SIMPLE release by Patankar, and the results are validated with prior published data. In addition, a characteristic model is prepared for the pressure measurement. The pressure measurements performed for the present model are consistent with this computational work. The explicit effect of the blade on the overall flow character is scrutinized. The numerical data are processed to describe the behavior of the meridional velocities under different blade conditions. Also, the traces of particles are plotted to assess the effects. Pronounced differences are noted and these results supply comprehensive data for practical application.


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