Binary chemical reaction with activation energy in radiative rotating disk flow of Bingham plastic fluid

Heat Transfer ◽  
2020 ◽  
Vol 49 (3) ◽  
pp. 1314-1337
Author(s):  
Najeeb A. Khan ◽  
Faqiha Sultan ◽  
Ali S. Alshomrani
2016 ◽  
Vol 71 (11) ◽  
pp. 1003-1015 ◽  
Author(s):  
Chunyan Liu ◽  
Mingyang Pan ◽  
Liancun Zheng ◽  
Chunying Ming ◽  
Xinxin Zhang

AbstractThis paper studies the steady flow and heat transfer of Bingham plastic fluid over a rotating disk of finite radius with variable thickness radially in boundary layer. The boundary layer flow is caused by the rotating disk when the extra stress is greater than the yield stress of the Bingham fluid. The analyses of the velocity and temperature field related to the variable thickness disk have not been investigated in current literatures. The governing equations are first simplified into ordinary differential equations owing to the generalized von Kármán transformation for seeking solutions easily. Then semi-similarity approximate analytical solutions are obtained by using the homotopy analysis method for different physical parameters. It is found that the Bingham number clearly influences the velocity field distribution, and the skin friction coefficientCfris nonlinear growth with respect to the shape parameterm. Additionally, the effects of the involved parameters (i.e. shape parameterm, variable thickness parameterβ, Reynolds number Rev, and Prandtl number Pr) on velocity and temperature distribution are investigated and analyzed in detail.


Author(s):  
B. Hari Babu ◽  
P. Srinivasa Rao ◽  
M. Gnaneswara Reddy ◽  
S.V.K. Varma

This mathematical model explains the three-dimensional flow of Casson liquid through a stretchable rotating disk. In momentum equation magnetic effect and in mass equation Arrhenius chemical reaction and activation energy effects are incorporated. The equation which represents the described flow pattern is reduced to ordinary differential equations (ODEs) by using apposite similarity transformations and then they are tackled with the RKF45 method with shooting proficiency. The impact of pertinent parameters on thermal, mass and velocity curves are deliberated graphically. Further statistical values of skin friction, Nusselt number and Sherwood number are portrayed in table format. The result outcome reveals that, increase in the values of a magnetic parameter reduces velocity gradient. The concentration profile declines for augmented values of chemical reaction rate parameter, but a contrasting trend is seen in the concentration gradient for increased values of activation energy. Further, upsurge in thermophoretic and Brownian motion parameter reduces the mass transfer.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Bai Yu ◽  
Muhammad Ramzan ◽  
Saima Riasat ◽  
Seifedine Kadry ◽  
Yu-Ming Chu ◽  
...  

AbstractThe nanofluids owing to their alluring attributes like enhanced thermal conductivity and better heat transfer characteristics have a vast variety of applications ranging from space technology to nuclear reactors etc. The present study highlights the Ostwald-de-Waele nanofluid flow past a rotating disk of variable thickness in a porous medium with a melting heat transfer phenomenon. The surface catalyzed reaction is added to the homogeneous-heterogeneous reaction that triggers the rate of the chemical reaction. The added feature of the variable thermal conductivity and the viscosity instead of their constant values also boosts the novelty of the undertaken problem. The modeled problem is erected in the form of a system of partial differential equations. Engaging similarity transformation, the set of ordinary differential equations are obtained. The coupled equations are numerically solved by using the bvp4c built-in MATLAB function. The drag coefficient and Nusselt number are plotted for arising parameters. The results revealed that increasing surface catalyzed parameter causes a decline in thermal profile more efficiently. Further, the power-law index is more influential than the variable thickness disk index. The numerical results show that variations in dimensionless thickness coefficient do not make any effect. However, increasing power-law index causing an upsurge in radial, axial, tangential, velocities, and thermal profile.


1998 ◽  
Vol 10 (11) ◽  
pp. 2695-2697 ◽  
Author(s):  
L. Schouveiler ◽  
P. Le Gal ◽  
M. P. Chauve

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