Unsteady transient slip flow of Williamson nanofluid containing gyrotactic microorganism and activation energy

Aldabesh, Abdulmajeed; Khan, Sami Ullah; Habib, Danial; Waqas, Hassan; Tlili, Iskander; Khan, M. Ijaz; Khan, Waqar Azeem

doi:10.1016/j.aej.2020.07.036

Cited by 57 publications

(8 citation statements)

References 52 publications

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“…Bhatti and Abdelsalam [28] reported the bio-inspired peristaltic propulsion of hybrid nanofluid flow with tantalum (Ta) and gold (Au) nanoparticles under magnetic effects. Aldabesh et al [29] studied the unsteady transient slip flow of Williamson nanofluid containing gyrotactic microorganism and activation energy. Gul et al [30] discussed analytical and numerical solutions of the MHD hybrid nanofluid within the conical gap.…”

Section: Dynamics Of Multiple Slip Boundaries E Ect On Mhdmentioning

confidence: 99%

Effect of Maxwell Velocity and Smoluchowski Temperature Jump Slip Conditions on Tangent Hyperbolic Nanofluid

Atif¹,

Emadifar

Günerhan

et al. 2022

Mathematical Problems in Engineering

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In this numerical investigation, three-dimensional tangent hyperbolic nanofluid flow past a stretching surface has been analyzed under the Smoluchowski thermal and Maxwell velocity slip conditions at the boundary. For the modification of the flow fields, the magnetic effect has also been incorporated. Nonlinear thermal radiation and Joule heating have also been included to improve heat transmission. The modelled PDEs have been turned into nonlinear ODEs after the application of the appropriate transformation. MATLAB bvp4c algorithm is utilized to achieve the solution of the problem. The code’s legitimacy is accomplished by repeating previously published results in the literature. Efforts are made to discuss the effects of the important parameters on velocities, energy profile, and concentration distribution in detail via graphs and tables. Based on our simulations, an enhancement in the slip parameter leads both velocities to decline. The ratio parameter causes a decline in velocity in the horizontal direction whereas it increases in the vertical direction. The heat transfer rate is boosted as the temperature ratio parameter is increased.

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Section: Dynamics Of Multiple Slip Boundaries E Ect On Mhdmentioning

confidence: 99%

Effect of Maxwell Velocity and Smoluchowski Temperature Jump Slip Conditions on Tangent Hyperbolic Nanofluid

Atif¹,

Emadifar

Günerhan

et al. 2022

Mathematical Problems in Engineering

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show abstract

“…The Fourier law has been used to study the issue of heat transmission, whereby was difficult to comprehend. Afterward, with Cattaneo and Later Christov, an improved version of the Fourier law (FL) was created and applied to discuss and examine the issue of heat transfer through a stretching sheet [19][20][21][22][23]. Temperature and concentration characteristics are unaffected via the bioconvection factor [16], whereas the buoyancy parameter has an impact on the density and velocity of MM.…”

Section: Introductionmentioning

confidence: 99%

Error Estimation through Computational Analysis of the Fluid Flow over Expanding Cylinder with Gyrotactic Microbe

Awwad¹,

Ismail²,

Khan³

et al. 2023

Preprint

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This study presents the numerical investigation of bioconvective nanofluid (NF) flow compris-ing gyrotactic microorganisms through convective boundary conditions (CBC) enclosing heat and mass transmission analysis above an inclined extending cylinder. Via appropriate transfor-mation, the set of Partial Differential Equations is transformed into a scheme of nonlinear ODEs. A new set of variables are presented in the directive to get the first-order convectional equations and, then solved numerically by using bvp4c. The influence of several factors on velocity, ener-gy, concentration, and the density of motile microorganisms (DMM) is investigated and exam-ined. The analysis describes and addresses all physical measures of concentration such as Skin Friction (SF), Sherwood number (SN), DMM, and Nusselt number (NN). The present conse-quences display a validation with published. For confirmation of bvp4c, the ND-solve approach is also applied. Error analysis is also examined for the confirmation of the mathematical model.

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“…Williamson (1929) addressed pseudoplastic mass transfer and recommended a governing equation to explain the flow of pseudoplastic fluid and test the results by laboratory experiments [14]. Analysis of Williamson nanofluid with the inducement of bioconvection microorganism and activation energy comprising unsteady transient slip motion along the boundaries was taken by Aldabesh et al [15]. Yusuf et al [16] investigated the results of the slip effects and entropy production of Williamson fluid via a permeable wall with chemical compound across DTM on oriented MHD flow.…”

Section: Introductionmentioning

confidence: 99%

MHD Williamson Nanofluid Flow over a Slender Elastic Sheet of Irregular Thickness in the Presence of Bioconvection

et al. 2021

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Bioconvection phenomena for MHD Williamson nanofluid flow over an extending sheet of irregular thickness are investigated theoretically, and non-uniform viscosity and thermal conductivity depending on temperature are taken into account. The magnetic field of uniform strength creates a magnetohydrodynamics effect. The basic formulation of the model developed in partial differential equations which are later transmuted into ordinary differential equations by employing similarity variables. To elucidate the influences of controlling parameters on dependent quantities of physical significance, a computational procedure based on the Runge–Kutta method along shooting technique is coded in MATLAB platform. This is a widely used procedure for the solution of such problems because it is efficient with fifth-order accuracy and cost-effectiveness. The enumeration of the results reveals that Williamson fluid parameter λ, variable viscosity parameter Λμ and wall thickness parameter ς impart reciprocally decreasing effect on fluid velocity whereas these parameters directly enhance the fluid temperature. The fluid temperature is also improved with Brownian motion parameter Nb and thermophoresis parameter Nt. The boosted value of Brownian motion Nb and Lewis number Le reduce the concentration of nanoparticles. The higher inputs of Peclet number Pe and bioconvection Lewis number Lb decline the bioconvection distribution. The velocity of non-Newtonian (Williamson nanofluid) is less than the viscous nanofluid but temperature behaves oppositely.

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Unsteady transient slip flow of Williamson nanofluid containing gyrotactic microorganism and activation energy

Cited by 57 publications

References 52 publications

Effect of Maxwell Velocity and Smoluchowski Temperature Jump Slip Conditions on Tangent Hyperbolic Nanofluid

Effect of Maxwell Velocity and Smoluchowski Temperature Jump Slip Conditions on Tangent Hyperbolic Nanofluid

Error Estimation through Computational Analysis of the Fluid Flow over Expanding Cylinder with Gyrotactic Microbe

MHD Williamson Nanofluid Flow over a Slender Elastic Sheet of Irregular Thickness in the Presence of Bioconvection

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