Features of Cattaneo-Christov double diffusion theory on the flow of non-Newtonian Oldroyd-B nanofluid with Joule heating

Author(s):  
Abdul Hafeez ◽  
Masood Khan ◽  
Awais Ahmed ◽  
Jawad Ahmed
2020 ◽  
Vol 9 (1) ◽  
pp. 201-222 ◽  
Author(s):  
Usha Shankar ◽  
Neminath B. Naduvinamani ◽  
Hussain Basha

AbstractPresent research article reports the magnetized impacts of Cattaneo-Christov double diffusion models on heat and mass transfer behaviour of viscous incompressible, time-dependent, two-dimensional Casson nanofluid flow through the channel with Joule heating and viscous dissipation effects numerically. The classical transport models such as Fourier and Fick’s laws of heat and mass diffusions are generalized in terms of Cattaneo-Christov double diffusion models by accounting the thermal and concentration relaxation times. The present physical problem is examined in the presence of Lorentz forces to investigate the effects of magnetic field on double diffusion process along with Joule heating. The non-Newtonian Casson nanofluid flow between two parallel plates gives the system of time-dependent, highly nonlinear, coupled partial differential equations and is solved by utilizing RK-SM and bvp4c schemes. Present results show that, the temperature and concentration distributions are fewer in case of Cattaneo-Christov heat and mass flux models when compared to the Fourier’s and Fick’s laws of heat and mass diffusions. The concentration field is a diminishing function of thermophoresis parameter and it is an increasing function of Brownian motion parameter. Finally, an excellent comparison between the present solutions and previously published results show the accuracy of the results and methods used to achieve the objective of the present work.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Yu Bai ◽  
Huiling Fang ◽  
Yan Zhang

Purpose This paper aims to present the effect of entropy generation on the unsteady flow of upper-convected Maxwell nanofluid past a wedge embedded in a porous medium in view of buoyancy force. Cattaneo-Christov double diffusion theory simulates the processes of energy phenomenon and mass transfer. Meanwhile, Brownian motion, thermophoresis and convective boundary conditions are discussed to further visualize the heat and mass transfer properties. Design/methodology/approach Coupled ordinary differential equations are gained by appropriate similar transformations and these equations are manipulated by the Homotopy analysis method. Findings The result is viewed that velocity distribution is a diminishing function with boosting the value of unsteadiness parameter. Moreover, fluid friction irreversibility is dominant as the enlargement in Brinkman number. Then controlling the temperature and concentration difference parameters can effectively regulate entropy generation. Originality/value This paper aims to address the effect of entropy generation on unsteady flow, heat and mass transfer of upper-convected Maxwell nanofluid over a stretched wedge with Cattaneo-Christov double diffusion, which provides a theoretical basis for manufacturing production.


2020 ◽  
Vol 10 (12) ◽  
pp. 5331-5342 ◽  
Author(s):  
Zahoor Iqbal ◽  
Masood Khan ◽  
Awais Ahmed ◽  
Jawad Ahmed ◽  
Abdul Hafeez

2020 ◽  
Vol 41 (7) ◽  
pp. 1083-1094 ◽  
Author(s):  
A. Hafeez ◽  
M. Khan ◽  
A. Ahmed ◽  
J. Ahmed

2021 ◽  
Vol 35 (17) ◽  
pp. 2150176
Author(s):  
Hassan Waqas ◽  
Taseer Muhammad ◽  
Sajjad Hussain ◽  
Sumeira Yasmin ◽  
Ghulam Rasool

The main benefits of submerging tiny-solid particles with the host fluid are to enhance the capability of storing heat, heat exchanger and interaction between the nanomaterials. The objective of this paper is to investigate the steady flow of bio-convective couple stress nanofluid across an inclined stretching cylinder with activation energy, motile microorganisms and nonlinear thermal radiation. The variable temperature conductivity and diffusivity impacts are considered. The Cattaneo–Christov double diffusion theory is also accounted in this model. The governing primary equations are reduced into a coupled system of ODEs by adopting appropriate similarity transformation. The resulting system is integrated numerically utilizing bvp4c tool via MATLAB software. The physical properties of concerned parameters against subjective profiles are examined through tabular and pictorial outline and then discussed in bit detail. It is shown that the velocity field reduces with growing estimations of Reynolds number and buoyancy ratio parameter. It is analyzed that thermal distribution decreases with improving amount of thermal relaxation parameter. Furthermore, concentration of nanoparticles is enhanced for larger amount of thermophoresis parameter. The microorganism field is up surged with enlarging amount of curvature and couple stress fluid parameters.


1961 ◽  
Vol S7-III (2) ◽  
pp. 174-181
Author(s):  
Jacques Grolier

Abstract Orbicular granite outcrops in a small area near the northern edge of the Tisselliline granitic massif in the Ahaggar mountains (Algeria) in the central Sahara. Petrographic and chemical study leads to a double diffusion theory of its origin. Whereas orbicular rocks are generally found near a migmatite front, this particular example indicates that an orbicular facies can also be associated with small granite massifs, thus suggesting the possibility that a phase analogous to migmitization may be involved in the genesis of certain intrusive massifs of this type.


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