Heat and Mass Transfer in Unsteady Rotating Fluid Flow with Binary Chemical Reaction and Activation Energy

Awad, F. G.; Motsa, S. S.; Khumalo, M.

doi:10.1371/journal.pone.0107622

Cited by 141 publications

(73 citation statements)

References 29 publications

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“…A slight increase in − (0, ) is observed towards the steady-state flow. The results in the present study are consistent with those of a similar study carried out by [8]. …”

Section: Resultssupporting

confidence: 94%

“…For a fixed value of , the local Nusselt number increases with Pr as displayed in Figure 22. These findings are consistent with those of Awad et al [8], whereby it is shown that the thermal boundary layer decreases with increase in Pr, in turn reducing the heat transfer rate at the surface. The effect of the Schmidt number on the local Nusselt number is insignificant for the unsteady-state flow as displayed in Figure 23.…”

Section: Resultssupporting

confidence: 93%

“…Figure 9 shows the effect of the rotating ratio parameter and it can be seen that the local friction decreases with increase in . These findings are in agreement with those of [8,9]. The effect of is shown to increase the local skinfriction coefficient in Figure 10.…”

Section: Resultssupporting

confidence: 92%

“…The heat transfer rate decreases with increase in the Schmidt number. The findings are in agreement with those of Awad et al [8]. For a fixed value of , the local Nusselt number increases with Pr as displayed in Figure 22.…”

Section: Resultssupporting

confidence: 92%

“…The resulting governing partial differential equations were solved using the Kellerbox method. The spectral relaxation method was used to solve a coupled highly nonlinear system of partial differential equations due to an unsteady flow over a stretching surface in an incompressible rotating viscous fluid by Awad et al [8]. The effects of binary chemical reaction and Arrhenius activation energy were taken into consideration.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

On a Bivariate Spectral Homotopy Analysis Method for Unsteady Mixed Convection Boundary Layer Flow, Heat, and Mass Transfer due to a Stretching Surface in a Rotating Fluid

Motsa

Makukula

2017

Journal of Applied Mathematics

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A bivariate spectral homotopy analysis method (BSHAM) is extended to solutions of systems of nonlinear coupled partial differential equations (PDEs). The method has been used successfully to solve a nonlinear PDE and is now tested with systems. The method is based on a new idea of finding solutions that obey a rule of solution expression that is defined in terms of the bivariate Lagrange interpolation polynomials. The BSHAM is used to solve a system of coupled nonlinear partial differential equations modeling the unsteady mixed convection boundary layer flow, heat, and mass transfer due to a stretching surface in a rotating fluid, taking into consideration the effect of buoyancy forces. Convergence of the numerical solutions was monitored using the residual error of the PDEs. The effects of the flow parameters on the local skin-friction coefficient, the Nusselt number, and the Sherwood number were presented in graphs.

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“…A slight increase in − (0, ) is observed towards the steady-state flow. The results in the present study are consistent with those of a similar study carried out by [8]. …”

Section: Resultssupporting

confidence: 94%

Section: Resultssupporting

confidence: 93%

Section: Resultssupporting

confidence: 92%

Section: Resultssupporting

confidence: 92%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On a Bivariate Spectral Homotopy Analysis Method for Unsteady Mixed Convection Boundary Layer Flow, Heat, and Mass Transfer due to a Stretching Surface in a Rotating Fluid

Motsa

Makukula

2017

Journal of Applied Mathematics

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Numerical study of a nonlinear density relation and binary reaction on nanofluid flow over a heated vertical surface with sinusoidal wall temperature

Oyelakin

Sibanda

2021

AIChE Journal

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This study discusses the impact of the nonlinear relationship between nonlinear density-temperature and density-concentration on a nanofluid flow with Arrhenius activation energy and sinusoidal wall temperature variations. The highly nonlinear partial differential equations that model the nanofluid flow are solved using the bivariate spectral local linearization method. In literature, it is known that certain thermal systems perform better at high temperatures. This performance may be influenced by the nonlinear temperature-concentration-dependent density relation, which accounts for optimal thermal and solutal transport in such systems. This study explores the impact of some physical parameters on the fluid transport properties, and the results show, among other findings, that the nonlinear density-temperature leads to increased fluid velocity. In contrast, the nonlinear density-concentration reduces the fluid speed. This study provides new insights into the impact of nonlinear density-temperature and density-concentration on fluid properties. Additionally, there is a development of destructive chemical reactions in the nanoparticle volume fraction profiles due to the Arrhenius activation energy.

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Optimization of the numerical treatment of the Darcy–Forchheimer flow of Ree–Eyring fluid with chemical reaction by using artificial neural networks

Shafiq

Çolak

Sindhu

2022

Numerical Methods in Fluids

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In this study, Darcy Forchheimer flow paradigm, which is a useful paradigm in fields such as petroleum engineering where high flow velocity effects are common, has been analyzed with artificial intelligence approach. In this context, first of all, Darcy–Forchheimer flow of Ree–Eyring fluid along a permeable stretching surface with convective boundary conditions has been examined and heat and mass transfer mechanisms have been investigated by including the effect of chemical process, heat generation/absorption, and activation energy. Cattaneo–Christov heat flux model has been used to analyze heat transfer properties. Within the scope of optimizing Darcy–Forchheimer flow of Ree–Eyring fluid; three different artificial neural network models have been developed to predict Nusselt number, Sherwood number, and skin friction coefficient values. The developed artificial neural network model has been able to predict Nusselt number, Sherwood number, and skin friction coefficient values with high accuracy. The findings obtained as a result of the study showed that artificial neural networks are an ideal tool that can be used to model Darcy–Forchheimer Ree–Eyring fluid flow towards a permeable stretch layer with activation energy and a convective boundary condition.

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Heat and Mass Transfer in Unsteady Rotating Fluid Flow with Binary Chemical Reaction and Activation Energy

Cited by 141 publications

References 29 publications

On a Bivariate Spectral Homotopy Analysis Method for Unsteady Mixed Convection Boundary Layer Flow, Heat, and Mass Transfer due to a Stretching Surface in a Rotating Fluid

On a Bivariate Spectral Homotopy Analysis Method for Unsteady Mixed Convection Boundary Layer Flow, Heat, and Mass Transfer due to a Stretching Surface in a Rotating Fluid

Numerical study of a nonlinear density relation and binary reaction on nanofluid flow over a heated vertical surface with sinusoidal wall temperature

Optimization of the numerical treatment of the Darcy–Forchheimer flow of Ree–Eyring fluid with chemical reaction by using artificial neural networks

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