Unsteady MHD Three-Dimensional Casson Nanofluid Flow Over a Porous Linear Stretching Sheet With Slip Condition

Mondal, Sabyasachi; Oyelakin, I. S.; Sibanda, Precious

doi:10.5098/hmt.8.37

Cited by 15 publications

(10 citation statements)

References 15 publications

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“…Moreover, the numerical findings are presented quite clearly in the form of various graphical and tabular illustrations. These results are discussed thoroughly in terms of velocity, temperature, and concentration profiles and validated accurately by comparing our tabular results with those obtained previously by the spectral quasilinearization method (Oyelakin et al 46 ) and currently by RKFM integrated with shooting technique (ST) as revealed in the validation section. Furthermore, the salient features of the present investigation are also clinched.…”

supporting

confidence: 80%

“…For simplifying the mathematical complexity of the studied flow model, the resulting partial differential equations described by Equations ( 1)-( 5) are converted into a nonlinear coupled dimensionless system of ordinary differential equations (ODEs). According to Oyelakin et al, 46 this transformation can be realized with the aid of the following feasible conversions.…”

Section: Mathematical Formulationmentioning

confidence: 99%

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Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Thumma¹,

2020

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It is worth remarking that little is known about generalized differential quadrature analysis of three‐dimensional flow of non‐Newtonian Casson fluid in the presence of Lorentz force, thermal radiation, haphazard motion of tiny particles, thermomigration of these tiny particles due to temperature gradient, heat source, significant conversion of kinetic energy into internal energy, first‐order chemical reaction, convectively heated horizontal wall, and zero nanoparticles mass flux at the stretching surface. The revised form of Buongiorno's nanofluid model accounted for significant influences of Brownian motion and thermophoresis. The similarity solution was complemented with a powerful collocation procedure based on the generalized differential quadrature method and Newton–Raphson iterative scheme to achieve accuracy and convergent outcomes. The numerical effects disclose that the Casson nanofluid parameter slows down the axial velocities in both directions. Also, the unsteadiness parameter tends to decline generally the temperature throughout the medium and decrease particularly the concentration profile away from the stretching surface. These examinations are applicable in the field of biomechanics, polymer processing, and for characterizing the cement slurries.

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supporting

confidence: 80%

Section: Mathematical Formulationmentioning

confidence: 99%

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Thumma¹,

2020

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“…The principal equations for mass, momentum, and energy conservations with nanoparticle concentration using above considerations can be composed as: (see Refs. [22,29,30]…”

Section: Modelingmentioning

confidence: 99%

“…Hussain et al [21] explored the series solution of Casson nanoliquid flow owing to linearly stretchable surface under viscous dissipation effect. More studies are carried out for Casson nanoliquid flow due to stretchable surface by many researchers [22][23][24][25][26][27], under the influences of various mechanisms like: Joule heating, porous medium, convective heat transport, hydromagnetic flow, slip conditions, thermal radiation, inclined surface, etc. Chamkha et al [28] discussed the similarity solution for unsteady nanofluid flow because of moveable surface in the expanse of boundary layer, under the inspiration of chemical reaction through porous media with suction/injection parameters.…”

Section: Introductionmentioning

confidence: 99%

Significances of prescribed heat sources on magneto Casson nanofluid flow due to unsteady bi-directionally stretchable surface in a porous medium

2020

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In this communication, bidirectional flow of Casson nanomaterial driven by an unsteady moveable surface in the region of boundary layer is analyzed. Moreover, the significances of porous space, magnetic field, prescribed surface temperature (PST), and prescribed surface heat flux are also incorporated. Furthermore, the aspects of Brownian motion and thermophoresis are also comprised through Buongiorno nanofluid model. Governing equations are firstly transformed into system of ordinary differential equations by using a suitable combination of variables, and then computational assessment is made through Keller-Box method. Graphical illustrations for temperature distribution, concentration distribution, local Nusselt number and local Sherwood number against escalating amounts of pertinent parameters are presented. It is observed that escalating amounts of unsteady parameter and temperature controlled indices reduce the temperature distribution, as well as the concentration distribution. It is also observed that increasing amounts of Casson parameter enhances the rate of heat transfer, and reduces the rate of mass transfer for PST case. Finally, a comparison benchmark for limited case has been presented to validate the present methodology. Keywords Casson nanofluid • Eckert number • Keller-Box method • MHD • Porous medium • Prescribed heat sources • Unsteady bi-directional stretching List of symbols a, b, c Stretching rates (s −1) B o Magnitude of magnetic force (kg s −2 A −1) C Concentration (kg m −3) c f Specific heat of liquid (m 2 s −2 K −1) c p Specific heat of nanomaterial (m 2 s −2 K −1) C ∞ Ambient concentration (kg m −3) C w Surface concentration (kg m −3) C fx , C fy Skin-friction coefficients (-) D B Brownian coefficient (m 2 s −1) D T Thermophoresis coefficient (m 2 s −1) Ec x , Ec y Eckert numbers (-) f , g Similarity functions for velocity (-) h j Step size for grids (m) j Suffix (-)

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“…Bhattacharyya (2013) examined boundary layer stagnationpoint flow of Casson fluid and heat transfer towards a shrinking/stretching sheet is studied. Recently, Oyelakin et al (2017) studied the effects of thermal radiation, heat and mass transfer on the unsteady magnetohydrodynamic(MHD) flow of a three dimensional Casson nanofluid using the spectral quasi-linearisation method. The partial differential equations governing the unsteady MHD flow on a rotating cone in a rotating fluid were solved by Roy et al (1998), asymptotic solutions were presented for large magnetic parameter M .…”

Section: Introductionmentioning

confidence: 99%

A Large Parameter Spectral Perturbation Method for Nonlinear Systems of Partial Differential Equations That Models Boundary Layer Flow Problems

Agbaje¹,

Motsa²,

Mondal³

et al. 2017

Frontiers in Heat and Mass Transfer

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In this work, we present a compliment of the spectral perturbation method (SPM) for solving nonlinear partial differential equations (PDEs) with applications in fluid flow problems. The (SPM) is a series expansion based approach that uses the Chebyshev spectral collocation method to solve the governing sequence of differential equation generated by the perturbation series approximation. Previously the SPM had the limitation of being used to solve problems with small parameters only. This current investigation seeks to improve the performance of the SPM by doing the series expansion about a large parameter. The new method namely the large parameter spectral perturbation method (LSPM) combines the idea of asymptotic analysis approach with numerical solution techniques. In the (LSPM), the resulting equations from the asymptotic expansion are solved numerically using the Chebyshev spectral method. The purpose of this study is to extend the existing spectral perturbation method (SPM) which was used for small parameters to be suitable for problems with large parameters. The applicability of the (LSPM), is tested on systems of earlier reported nonlinear partial differential equations that describe boundary layer fluid flow problems. The validity of the (LSPM) numerical solutions is verified by comparing with published results and the bivariate Chebyshev spectral quasilinearisation method (BSQLM) and an excellent agreement were observed. The (BSQLM) is a numerical method that blends the quasilinearisation method, the Chebyshev spectral method, and the bivariate Lagrange interpolation method. One of the advantages of this approach is that it gives results in a fraction of seconds. We remark also that simple decoupled linear systems formulas are derived for generating the solutions in the form of decoupled linear systems. Tables are generated to present error and convergence properties of the LSPM.

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Unsteady MHD Three-Dimensional Casson Nanofluid Flow Over a Porous Linear Stretching Sheet With Slip Condition

Cited by 15 publications

References 15 publications

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Significances of prescribed heat sources on magneto Casson nanofluid flow due to unsteady bi-directionally stretchable surface in a porous medium

A Large Parameter Spectral Perturbation Method for Nonlinear Systems of Partial Differential Equations That Models Boundary Layer Flow Problems

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