Soret–Dufour effects on MHD heat and mass transfer of Walter’s-B viscoelastic fluid over a semi-infinite vertical plate: spectral relaxation analysis

Idowu, A. S.; Falodun, B. O.

doi:10.1080/16583655.2018.1523527

Cited by 46 publications

(45 citation statements)

References 20 publications

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“…The induced magnetic impact is assumed to be of small magnitude. Based on the above discussions, the leading PDEs are [ 10 , 17 , 18 ]:

Figure 1 Physical diagram of the problem. …”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Reddy and Chamkha [ 16 ] inspected the combined assumption of Du and Sr on flow comprising the water-based Al 2 O 3 and TiO 2 nanoliquids from a stretched porous sheet through heat absorption/generation. In recent times, Idowu and Falodun [ 17 ] used the spectral relaxation procedure to discuss the non-linear fluid comprising the effects of Sr and Du constraints from a semi-infinite surface.…”

Section: Introductionmentioning

confidence: 99%

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Exploration of dual solutions for an enhanced cross liquid flow past a moving wedge under the significant impacts of activation energy and chemical reaction

Khan

Zaib

Băleanu

et al. 2020

Heliyon

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The mathematical modeling and numerical simulation are conferred to offer the novel perception of binary chemical reaction with an activation energy aspect on magneto flow comprising Cross liquid inspired by a moving wedge. The influences of Soret and Dufour are also presented. The similarity procedure is utilized to modify the leading PDEs into a non-linear system of ODEs and then analyzed through a significant technique namely bvp4c based on the collocation method. The impacts of varying distinct parameters under the temperature and the velocity distribution are explored and discussed with the support of the graphs. The outcomes indicate that the multiple results are attained for a specific amount of shrinking/stretching constraint. Furthermore, the Weissenberg number reduces the skin factor and speed up the heat and mass transport rate in the lower and upper branch solutions. Also, an assessment of current results with earlier published literature is made in the limiting case.

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“…The induced magnetic impact is assumed to be of small magnitude. Based on the above discussions, the leading PDEs are [ 10 , 17 , 18 ]:

Figure 1 Physical diagram of the problem. …”

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exploration of dual solutions for an enhanced cross liquid flow past a moving wedge under the significant impacts of activation energy and chemical reaction

Khan

Zaib

Băleanu

et al. 2020

Heliyon

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“…The level of concentration is high so the effects of Soret and Dufour are considered in this study. With the above assumptions, the Boussineq's approximation, and following other researchers such as Sarada and Bhankar [16] Alao et al [14] and Idowu and Idowu [15], the following are the basics equations of motion.

\frac{\partial \overset{true‾}{v}}{\partial \overset{true‾}{y}} = 0,

|\begin{matrix} center \\ \frac{\partial \overset{true‾}{u}}{\partial \overset{true‾}{t}} & - \overset{true‾}{v} \\ \frac{\partial \overset{true‾}{u}}{\partial \overset{true‾}{y}} & 1 \end{matrix}| + |\begin{matrix} center \\ - ν & italicg β \\ {(T - T_{\infty})}^{2} & \frac{\partial^{2} \overset{true‾}{u}}{\partial {\overset{y}{true}}^{2}} \end{matrix}| + |\begin{matrix} center \\ \frac{{σ β}_{0}^{2}}{ρ} & g β^{*} \\ {(C - C_{\infty})}^{2} & \overset{true‾}{u} \end{matrix}| + \frac{ν}{K} \overset{true‾}{u} = 0,

|\begin{matrix} center \\ \frac{\partial T}{\partial \overset{true‾}{t}} & - \overset{true‾}{v} \\ \frac{\partial T}{\partial \overset{true‾}{y}} & 1 \end{matrix}| + |\begin{matrix} center \\ \frac{1}{ρ c_{p}} & α \\ \frac{\partial^{2} T}{\partial {\overset{y}{true}}^{2}} & \frac{\partial q_{r}}{\partial \overset{true‾}{y}} \end{matrix}, ...|

…”

Section: Mathematical Analysismentioning

confidence: 99%

“…Considering Rosseland approximation as discussed in Hossain et al [32] and following published work of Alao et al [15] and Falodun et al [31], heat flux q r in the energy equation becomes

q_{r} = - \frac{4 σ_{0}}{3 k_{s}} \frac{\partial T^{4}}{\partial \overset{true‾}{y}}

…”

Section: Mathematical Analysismentioning

confidence: 99%

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Soret–Dufour mechanism on an electrically conducting nanofluid flow past a semi‐infinite porous plate with buoyancy force and chemical reaction influence

Falodun

Ayegbusi

2020

Numerical Methods Partial

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This study explored the flow of an electrically conducting and chemically reacting nanofluid over a semi‐infinite porous vertical plate under the influence of Soret–Dufour and nonlinear buoyancy force. The flow analysis consists of partial differential equations (PDEs). These equations were nondimensionalized via nondimensional quantities into coupled nonlinear PDE and solved numerically using spectral relaxation method. Numerical computations of all flow parameters for velocity, temperature along with concentration are presented in diagrams. The result shows that an upsurge in the value of the radiation parameter enhances both velocities along with temperature profiles, respectively. This is true because the temperature at the plate is much when there is an increase in the radiation parameter. The present results were compared with the previously published result and were found to be in excellent agreement.

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Mixed convection flow of a Maxwell nanofluid with Hall and ion‐slip impacts employing the spectral relaxation method

Ibrahim

Anbessa

2020

Heat Trans

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This article investigates the Hall and ion‐slip impacts on the mixed convection flow of a Maxwell nanofluid over an expanding surface in a permeable medium. The impacts of Brownian movement and thermophoresis parameters, Soret, Dufour, viscous dissipation, chemical reaction, and suction parameters, are, moreover, considered. Using the similitude changes, the partial differential equations with regard to the momentum, energy, and concentration equations are transformed to an arrangement of nonlinear ordinary differential equations, which are handled numerically utilizing a spectral relaxation method (SRM). The impacts of noteworthy physical parameters on the velocities, thermal, and concentration distributions are investigated graphically. Moreover, the numerical values of skin‐friction coefficients, local Nusselt number, and Sherwood number for different values of the mixed convection parameter ( γ ) , Deborah number ( λ ) , Hall parameter false( β H false) , ion‐slip parameter false( β i false) , Dufour number (Du), and Soret number ( Sr ) are computed and tabulated. It is discovered that ascent in Deborah number reduces both the stream and transverse velocity profiles, while the inverse pattern is seen with augmentation in the mixed convection parameter. In addition, inverse patterns of the stream and transverse velocity profiles are seen with expansion in magnetic, Hall, and ion‐slip parameters. Besides this, the temperature and concentration disseminations decline with augmentation in Dufour number and chemical reaction parameters, respectively. It is likewise seen that both the skin‐friction coefficients lessen with expansion in Deborah number, and they ascend with upgrade in blended convection and ion‐slip parameters, while the opposite condition is noticed with augmentation in Hall parameter. Furthermore, the reverse trends of local Nusselt and Sherwood numbers are discovered with expansion in the Dufour and Soret numbers.

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Soret–Dufour effects on MHD heat and mass transfer of Walter’s-B viscoelastic fluid over a semi-infinite vertical plate: spectral relaxation analysis

Cited by 46 publications

References 20 publications

Exploration of dual solutions for an enhanced cross liquid flow past a moving wedge under the significant impacts of activation energy and chemical reaction

Exploration of dual solutions for an enhanced cross liquid flow past a moving wedge under the significant impacts of activation energy and chemical reaction

Soret–Dufour mechanism on an electrically conducting nanofluid flow past a semi‐infinite porous plate with buoyancy force and chemical reaction influence

Mixed convection flow of a Maxwell nanofluid with Hall and ion‐slip impacts employing the spectral relaxation method

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