Study of bioconvection flow in Oldroyd-B nanofluid with motile organisms and effective Prandtl approach

Khan, Sami Ullah; Rauf, A.; Shehzad, Sabir Ali; Abbas, Zaheer; Javed, Tariq

doi:10.1016/j.physa.2019.121179

Cited by 101 publications

(44 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Before compute the solution of above equations, let us transform the equations into dimensionless form by using the following similarity variable

ψ goodbreakinfix= \sqrt{true(a ν true)} x^{⁎} f (η) goodbreakinfix, η goodbreakinfix= \sqrt{\frac{a}{ν}} y^{⁎} goodbreakinfix, u^{⁎} goodbreakinfix= a x^{⁎} f false' (η) goodbreakinfix, v^{⁎} goodbreakinfix= - \sqrt{a ν} f (η) goodbreakinfix, K goodbreakinfix= a x^{⁎} \sqrt{\frac{a}{ν}} w (η),

θ (η) goodbreakinfix= \frac{T - T_{\infty}}{T_{w} - T_{\infty}} goodbreakinfix, ϕ (η) goodbreakinfix= \frac{C - C_{\infty}}{C_{w} - C_{\infty}} goodbreakinfix, χ (η) goodbreakinfix= \frac{n - n_{\infty}}{n_{w} - n_{\infty}} .

…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…Before compute the solution of above equations, let us transform the equations into dimensionless form by using the following similarity variable 25,26 ψ…”

Section: Similarity Variablesmentioning

confidence: 99%

“…The highly nonlinear transformed system (21)(22)(23)(24)(25) with conditions (26,27) is evaluated numerically by using the shooting method (Appendix B). According to this scheme, the BVP is transmuted into IVP by following the below procedure:…”

Section: Numerical Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…This mobility of microorganisms is simulated by various stimulators such as chemotaxis, photosynthesis, gyrotactic, and so on. Many recent advancements on this topic can be visualized through Kuznetsov et al [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36] Recently, the activation energy has attained the interests of engineers, which was originally proposed by Arrhenius in 1889. This is known as base energy supplied to reactants in chemical processing for the conversion of products.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Significance of the nonlinear radiative flow of micropolar nanoparticles over porous surface with a gyrotactic microorganism, activation energy, and Nield's condition

Waqas

Khan

Shehzad

et al. 2019

Heat Trans. Asian Res.

Self Cite

View full text Add to dashboard Cite

Current continuation presents the numerical study regarding stretched flow micropolar nanofluid over moving the sheet in the existence of activation energy and microorganisms. Furthermore, nonlinear aspects of thermal radiation are also utilized in the energy equation which results in the energy equation becomes highly nonlinear. This investigation has been performed by using convective Nield boundary conditions. First, useful dimensionless variables are implemented to reduce the partial differential into ordinary ones. Later on, the approximate solution of the transformed physical problem is computed by using the shooting scheme. A detailed physical interpretation of obtained results is also presented for velocity, temperature, motile microorganisms density, and mass concentration profiles. A detailed graphical explanation for each engineering parameter has been discussed for some specified range like 0 goodbreakinfix≤ K 1 goodbreakinfix≤ 1.5 , 0.1 goodbreakinfix≤ m goodbreakinfix≤ 0.7 , 0.1 goodbreakinfix≤ K goodbreakinfix≤ 0.7 , 0.1 goodbreakinfix≤ N t goodbreakinfix≤ 2.4 , 0.1 goodbreakinfix≤ γ goodbreakinfix≤ 0.4 , 1.0 goodbreakinfix≤ italicPr goodbreakinfix≤ 1.8 , 0.4 goodbreakinfix≤ R d goodbreakinfix≤ 1.0 , 0.2 goodbreakinfix≤ N b goodbreakinfix≤ 0.8 , 0.1 goodbreakinfix≤ E goodbreakinfix≤ 7.0, and 0.4 goodbreakinfix≤ L b goodbreakinfix≤ 1.0 . The theoretical computations based presented here can be more proficient to attain the maximum efficiency of various thermal extrusion systems and microbial fuel cells.

show abstract

“…Before compute the solution of above equations, let us transform the equations into dimensionless form by using the following similarity variable

ψ goodbreakinfix= \sqrt{true(a ν true)} x^{⁎} f (η) goodbreakinfix, η goodbreakinfix= \sqrt{\frac{a}{ν}} y^{⁎} goodbreakinfix, u^{⁎} goodbreakinfix= a x^{⁎} f false' (η) goodbreakinfix, v^{⁎} goodbreakinfix= - \sqrt{a ν} f (η) goodbreakinfix, K goodbreakinfix= a x^{⁎} \sqrt{\frac{a}{ν}} w (η),

θ (η) goodbreakinfix= \frac{T - T_{\infty}}{T_{w} - T_{\infty}} goodbreakinfix, ϕ (η) goodbreakinfix= \frac{C - C_{\infty}}{C_{w} - C_{\infty}} goodbreakinfix, χ (η) goodbreakinfix= \frac{n - n_{\infty}}{n_{w} - n_{\infty}} .

…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…Before compute the solution of above equations, let us transform the equations into dimensionless form by using the following similarity variable 25,26 ψ…”

Section: Similarity Variablesmentioning

confidence: 99%

Section: Numerical Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Significance of the nonlinear radiative flow of micropolar nanoparticles over porous surface with a gyrotactic microorganism, activation energy, and Nield's condition

Waqas

Khan

Shehzad

et al. 2019

Heat Trans. Asian Res.

Self Cite

View full text Add to dashboard Cite

show abstract

Radiative unsteady hydromagnetic 3D flow model for Jeffrey nanofluid configured by an accelerated surface with chemical reaction

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

Spectral local linearisation method for MHD Casson fluid on stratified bioconvective porous medium flow due to gyrotactic microorganisms

2020

View full text Add to dashboard Cite

In this paper, the effect of hall parameter on the flow of Casson nanofluid containing gyrotactic microorganisms over a stretching boundary in a porous medium is studied. The stratification, porosity, and Casson fluid parameters are also examined. Using suitable similarity transformations, the basic equations describing the flow are converted to nonlinear differential equations, which are then solved computationally using the spectral local linearisation method. The effects of key parameters such as the Hall parameter, the thermophoresis parameter, the porosity parameter, and Casson fluid parameters are analyzed. The results obtained suggest that the Hall parameter has the effect of decreasing the secondary flow, the heat and mass transfer rate, and density of the motile microorganisms. A decrease in the the Hall parameter is found to cause an increase in the transfer rate, the mass transfer rate, and the density of the motile microorganisms. An increase in the porosity parameter leads to a decline in the skin friction, heat transfer rate, mass transfer rate, and density of the motile microorganisms. The applications of this study arise in industrial areas, including Hall current accelerators, planetary dynamics, Hall current sensors, and magnetohydrodynamic power generators.

show abstract

Study of bioconvection flow in Oldroyd-B nanofluid with motile organisms and effective Prandtl approach

Cited by 101 publications

References 38 publications

Significance of the nonlinear radiative flow of micropolar nanoparticles over porous surface with a gyrotactic microorganism, activation energy, and Nield's condition

Significance of the nonlinear radiative flow of micropolar nanoparticles over porous surface with a gyrotactic microorganism, activation energy, and Nield's condition

Radiative unsteady hydromagnetic 3D flow model for Jeffrey nanofluid configured by an accelerated surface with chemical reaction

Spectral local linearisation method for MHD Casson fluid on stratified bioconvective porous medium flow due to gyrotactic microorganisms

Contact Info

Product

Resources

About