MHD Casson Fluid Flow over a Stretching Sheet with Entropy Generation Analysis and Hall Influence

Elaziz, Mohamed Abd; Afify, A. A.

doi:10.3390/e21060592

Cited by 57 publications

(16 citation statements)

References 29 publications

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“…Numerical and analytical approaches are used in their work for results. The others related investigations to MHD Casson fluid are mentioned in [ 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 ]…”

Section: Introductionmentioning

confidence: 99%

Hall Effect on Radiative Casson Fluid Flow with Chemical Reaction on a Rotating Cone through Entropy Optimization

Deebani

Tassaddiq

Shah

et al. 2020

Entropy

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Magnetohydrodynamic (MHD) flow with Hall current has numerous applications in industrial areas such as Hall current accelerators, MHD power generators, planetary dynamics, Hall current sensors, etc. In this paper, the analysis of an unsteady MHD Casson fluid with chemical reaction over a rotating cone is presented. The impacts of Hall current, joule heating, thermal radiation, and viscous dissipation are analyzed. Entropy optimization is also considered in the present analysis. The system of coupled equations is tackled with homotopy analysis method (HAM). The convergence of HAM is also shown through figures. Deviations in the flow due to dimensionless parameters are shown graphically. Similarly, the variation in skin friction, Nusselt number, and Sherwood number are deliberated through Tables. A justification of the current consequences is presented.

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“…Numerical and analytical approaches are used in their work for results. The others related investigations to MHD Casson fluid are mentioned in [ 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 ]…”

Section: Introductionmentioning

confidence: 99%

Hall Effect on Radiative Casson Fluid Flow with Chemical Reaction on a Rotating Cone through Entropy Optimization

Deebani

Tassaddiq

Shah

et al. 2020

Entropy

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“…In many industrial problems, the comportment of non-Newtonian fluids is more important as compared to Newtonian fluids 1 , 2 . Some applications of non-Newtonian fluids can be seen in polymer engineering, manufacturing of foods, petroleum drilling, certain separation processes, and papers 3 , 4 . It is very hard to convey all properties of numerous non-Newtonian fluids in a single momentum equation due to non-linearity among the rate of strain and stress of the fluids.…”

Section: Introductionmentioning

confidence: 99%

Dual similarity solutions of MHD stagnation point flow of Casson fluid with effect of thermal radiation and viscous dissipation: stability analysis

Lund

Omar

Khan

et al. 2020

Sci Rep

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In this paper, the rate of heat transfer of the steady MHD stagnation point flow of Casson fluid on the shrinking/stretching surface has been investigated with the effect of thermal radiation and viscous dissipation. The governing partial differential equations are first transformed into the ordinary (similarity) differential equations. The obtained system of equations is converted from boundary value problems (BVPs) to initial value problems (IVPs) with the help of the shooting method which then solved by the RK method with help of maple software. Furthermore, the three-stage Labatto III-A method is applied to perform stability analysis with the help of a bvp4c solver in MATLAB. Current outcomes contradict numerically with published results and found inastounding agreements. The results reveal that there exist dual solutions in both shrinking and stretching surfaces. Furthermore, the temperature increases when thermal radiation, Eckert number, and magnetic number are increased. Signs of the smallest eigenvalue reveal that only the first solution is stable and can be realizable physically.

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“…Recently, Abdel-Wahed (2019) examined the impact of Hall current on an MHD boundary-layer flow and heat transfer of a ferro-nanofluid in a curved tube. MHD Casson fluid flow over a stretching sheet under Hall effect has been presented by El-Aziz (2019). Other related articles on the hydromagnetic flow considering Hall current with various aspects include Katagiri (1969); Pop and Soundalgekar (1974); Gupta (1975); Jana et al (1977); Pop and Watanabe (1994); El-Aziz (2010); Seth and Singh (2016) and Sheri and Shamshuddin (2018).…”

Section: Introductionmentioning

confidence: 99%

Hall effects on radiated magneto-power-law fluid flow over a stretching surface with power-law velocity slip effect

Ali¹,

Jana

Das

2020

MMMS

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PurposeThis paper aims to assess the effectiveness of Hall currents and power-law slip condition on the hydromagnetic convective flow of an electrically conducting power-law fluid over an exponentially stretching sheet under the effect of a strong variable magnetic field and thermal radiation. Flow formation is developed using the rheological expression of a power-law fluid.Design/methodology/approachThe nonlinear partial differential equations describing the flow are transformed into the nonlinear ordinary differential equations by employing the local similarity transformations and then solved numerically by an effective numerical approach, namely, fourth-order Runge–Kutta integration scheme, along with the shooting iteration technique. The numerical solution is computed for different parameters by using the computational software MATLAB bvp4c. The bvp4c function uses the finite difference code as the default. This method is a fourth-order collocation method. The impacts of thermophysical parameters on velocity and temperature distributions, skin friction coefficients and Nusselt number in the boundary layer regime are exhibited through graphs and tables and deliberated with proper physical justification.FindingsOur investigation conveys that Hall current has an enhancing behavior on velocity profiles and reduces skin friction coefficients. An increase in the power-law index is observed to deplete velocity and temperature evolution. The temperature for the pseudo-plastic (shear-thinning) fluid is relatively higher than the corresponding temperature of the dilatant (shear-thickening) fluid. The streamlines are more distorted and have low intensity near the surface of the sheet for the dilatant fluid than the pseudo-plastic fluid.Social implicationsThe study is pertinent to the expulsion of polymer sheet and photographic films, hydrometallurgical industry, electrically conducting polymer dynamics, magnetic material processing, solutions and melts of polymer processing, purification of molten metals from nonmetallic. The results obtained in this work can be relevant in fluid mechanics and heat transfer applications.Originality/valueThe present problem has, to the authors' knowledge, not communicated thus far in the scientific literature. A comparative study with the published works is conducted to verify the accuracy of the present study. The results obtained in this analysis are significant in providing the standards for validating the accuracies of some numerical or empirical methods.

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MHD Casson Fluid Flow over a Stretching Sheet with Entropy Generation Analysis and Hall Influence

Cited by 57 publications

References 29 publications

Hall Effect on Radiative Casson Fluid Flow with Chemical Reaction on a Rotating Cone through Entropy Optimization

Hall Effect on Radiative Casson Fluid Flow with Chemical Reaction on a Rotating Cone through Entropy Optimization

Dual similarity solutions of MHD stagnation point flow of Casson fluid with effect of thermal radiation and viscous dissipation: stability analysis

Hall effects on radiated magneto-power-law fluid flow over a stretching surface with power-law velocity slip effect

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