Non-similar mixed convection analysis for magnetic flow of second-grade nanofluid over a vertically stretching sheet

Raees, Ammarah; Farooq, Umer; Hussain, Muzamil; Khan, Waseem Asghar; Farooq, Fozia Bashir

doi:10.1088/1572-9494/abe932

Cited by 45 publications

(22 citation statements)

References 32 publications

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“…To interpret several non-similarity boundary layers, many scientists utilize this method (see for instance, Refs. [12][13][14]). The principle of local similarity is usually considered for outcomes of non-similarity boundary layer.…”

Section: Non-similarity Methodsmentioning

confidence: 99%

Closure to “Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles” (Farooq, U., Lu, D. C., Ahmed, S., and Ramzan, M., 2019, ASME J. Therm. Sci. Eng. Appl., 11(2), p. 021013)

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Farooq

Razzaq

et al. 2021

Journal of Thermal Science and Engineering Applications

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The authors regret in the published paper referenced above and agree with the discussion by Pantokratoras [1]. In this corrigendum, non-similar mathematical model is developed to describe the mixed convective nanofluid flow over vertical sheet which is stretching at an exponential rate. In the published article referenced above similarity transformations are utilized to convert the governing nonlinear partial differential equations (PDE's) into ordinary differential equations (ODE's). The important physical numbers such as magnetic field, Brownian motion parameter, thermophoresis, Eckert number, ratio of mass transfer Grashof to heat transfer Grashof, buoyancy parameter and Reynolds number appearing in the dimensionless ODE's are still functions of coordinate "x", therefore the problem is non-similar. In this corrigendum, non-similar model is developed by using non-similarity and pseudo-similarity variables. The dimensionless non-similar model is numerically simulated by employing local non-similarity via bvp4c. The graphical results show no change in behavior. The important thermal and mass transport quantities such as Nusselt number and Sherwood number have been computed for the non-similar model and results are compared with the published article.

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Section: Non-similarity Methodsmentioning

confidence: 99%

Closure to “Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles” (Farooq, U., Lu, D. C., Ahmed, S., and Ramzan, M., 2019, ASME J. Therm. Sci. Eng. Appl., 11(2), p. 021013)

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Farooq

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et al. 2021

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“…e Lie symmetry analysis of energy equation ( 13) is presented in this section. In equation (18), substitute equation (13) in the place of PDE along with equations ( 19)- (22). is will generate a system…”

Section: Lie Symmetry Analysis Of Energy Equationmentioning

confidence: 99%

“…e symmetry operators given in equation ( 51) are utilized to find the group invariant solution of equation (13).…”

Section: Exact Solution Of Energy Equationmentioning

confidence: 99%

“…Using equation ( 53) into equation (13) gives the secondorder ODE…”

Section: Group Invariant Solution Corresponding Tomentioning

confidence: 99%

“…e author applied the numerical technique for the solution of the model and found the results for the various emerging parameters for flow and heat transfer. e nonsimilar modeling for mixed convection in magnetized second-grade nanofluid flow is given by Raees et al [13]. e BVP4C solver is used to show that the graphical results and inferences are drawn for important quantities that are substantially affected by the physical parameters.…”

Section: Introductionmentioning

confidence: 99%

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Group Invariant Solutions for Flow and Heat Transfer of Power-Law Nanofluid in a Porous Medium

Javaid

Aziz

2021

Mathematical Problems in Engineering

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The present work covers the flow and heat transfer model for the power-law nanofluid in the presence of a porous medium over the penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy’s type porous medium. The flow and heat transfer model has been examined with the effect of linear thermal radiation and the internal heat source or sink in the flow regime. The Rosseland approximation is utilized for the optically thick nanofluid. To form the closed-form solutions for the governing partial differential equations of conservation of mass, momentum, and energy, the Lie symmetry analysis is used to get the reductions of governing equations and to find the group invariants. These invariants are then utilized to obtain the exact solution for all three cases, i.e., shear thinning fluid, Newtonian fluid, and shear thickening fluid. In the end, all solutions are plotted for the cu -water nanofluid and discussed briefly for the different emerging flow and heat transfer parameters.

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Nonsimilar modeling and numerical convective transport analysis of forced flow of radiative Carreau nanofluid with zero mass flux boundary condition

et al. 2022

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Present research focuses on nonsimilar analysis of the flow of a non-Newtonian Carreau nanofluid against different geometrical configurations affected by thermal radiations. The flow is induced by stretchable surface with the implementation of zero-net mass-flux conditions on the surface. This considered model is commonly known as Kuznetsov and Nield's proposed updated model for nanoparticles. The derived flow equations are first nondimensionalized by employing appropriate nonsimilar transformations. The transformed system is analytically tackled by employing the local nonsimilarity (LNS) approach up to the second-truncation level in association with the numerical algorithm bvp4c. The consequences of appropriate parameters, such as the suction parameter, wedge angle parameter, Weissenberg number, Prandtl number, constant velocity parameter, temperature ratio, Brownian motion, Lewis number, thermophoresis and radiation parameters, on fluid velocity, thermal, and concentration profiles are calculated and graphed. Drag coefficient, Nusselt, and Sherwood numbers are also computed and presented in tabular form. It is observed that intensification in the suction parameter shows augmentation in the local skin friction coefficient. Enhancement in the wedge angle parameter increases both the Sherwood and Nusselt numbers. Enhancement in velocity profile of the nanofluids is noticed with the increasing estimations of suction parameter. Thermophoresis parameter enhances both thermal and concentration profiles, however increasing Lewis number leads to a decline in the concentration boundary layer. With judgment, a comparative assessment is made of the present and previous results. This research may be helpful for the researchers that are interested in studying prospective industrial and engineering nanofluid applications, notably in geophysical and geothermal systems, heat exchangers, solar water heaters, and many others.

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Non-similar mixed convection analysis for magnetic flow of second-grade nanofluid over a vertically stretching sheet

Cited by 45 publications

References 32 publications

Closure to “Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles” (Farooq, U., Lu, D. C., Ahmed, S., and Ramzan, M., 2019, ASME J. Therm. Sci. Eng. Appl., 11(2), p. 021013)

Closure to “Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles” (Farooq, U., Lu, D. C., Ahmed, S., and Ramzan, M., 2019, ASME J. Therm. Sci. Eng. Appl., 11(2), p. 021013)

Group Invariant Solutions for Flow and Heat Transfer of Power-Law Nanofluid in a Porous Medium

Nonsimilar modeling and numerical convective transport analysis of forced flow of radiative Carreau nanofluid with zero mass flux boundary condition

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