Diffusion of Chemically Reactive Species in Stagnation-Point Flow of a Third Grade Fluid: a Hybrid Numerical Method

Abbas, Zaheer; Javed, Tariq; Ali, Nasir; Sajid, Muhammad

doi:10.18869/acadpub.jafm.68.224.24004

Cited by 9 publications

(4 citation statements)

References 23 publications

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“…where Nu x is the local Nusselt number, Sh is the local Sherwood number, while u x Re x w n = / is the local Reynold number. It is remarked that the solutions of equations ( 9)- (11), with boundary conditions (12)-( 13), are locally similar, which is addressed in next section.…”

Section: Problem Statementmentioning

confidence: 95%

“…¥ The flow configuration is shown in figure 1. Keeping these assumptions in mind, the modeled boundary layer expressions for velocity, temperature, concentration and microorganism profiles can be written as [10,11,22]…”

Section: Problem Statementmentioning

confidence: 99%

“…Another influential investigation based on a third-grade fluid model is performed by Ali et al [10]. A numerical study for the chemically reactive flow of a third-grade fluid is addressed by Abbas et al [11].…”

Section: Introductionmentioning

confidence: 99%

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Brownian movement and thermophoretic aspects in third-grade nanofluid over oscillatory moving sheet

Khan¹,

Shehzad²

2019

Phys. Scr.

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An enhancement in energy by using nanoparticles is a topic of broad interest in the present century due to its industrial and engineering importance. Therefore, this investigation is based on the thermophoretic and Brownian movement aspects in third-grade nanofluid flow under an applied magnetic field. The role of Joule dissipation is considered in the energy expression. The flow generation is due to the time-dependent periodic motion of the sheet. The partial differential system is converted into expressions of ordinary ones via appropriate variables. The local similarity solution for a coupled system of nonlinear ordinary differential expressions is developed by a homotopy analysis method. A theoretical based graphical analysis is comprehensively discussed for the flow parameters. The numerical data of local Nusselt and Sherwood numbers are expressed in tabular form. It is observed that the presence of non-Newtonian parameters result in an enhancement of the momentum boundary layer. Both thermophoresis and Brownian parameters play an efficient role to enhance the nanoparticles’ temperature. This study also reveals that the factor of skin friction oscillates and increases periodically by increasing the non-Newtonian parameters.

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Section: Problem Statementmentioning

confidence: 95%

Section: Problem Statementmentioning

confidence: 99%

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Brownian movement and thermophoretic aspects in third-grade nanofluid over oscillatory moving sheet

Khan¹,

Shehzad²

2019

Phys. Scr.

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“…A variety of work based on the rheological features of third-grade fluid is attributed in references [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Utilization of Second Order Slip, Activation Energy and Viscous Dissipation Consequences in Thermally Developed Flow of Third Grade Nanofluid with Gyrotactic Microorganisms

et al. 2020

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In recent decades, an interest has been developed towards the thermal consequences of nanofluid because of utilization of nano-materials to improve the thermal conductivity of traditional liquid and subsequently enhance the heat transportation phenomenon. Following this primarily concept, this current work investigates the thermal developed flow of third-grade nanofluid configured by a stretched surface with additional features of activation energy, viscous dissipation and second-order slip. Buongiorno’s nanofluid model is used to explore the thermophoresis and Brownian motion features based on symmetry fundamentals. It is further assumed that the nanoparticles contain gyrotactic microorganisms, which are associated with the most fascination bioconvection phenomenon. The flow problem owing to the partial differential equations is renovated into dimensional form, which is numerically simulated with the help of bvp4c, by using MATLAB software. The aspects of various physical parameters associated to the current analysis are graphically examined against nanoparticles’ velocity, temperature, concentration and gyrotactic microorganisms’ density distributions. Further, the objective of local Nusselt number, local Sherwood number and motile density number are achieved numerically with variation of various parameters. The results presented here may find valuable engineering applications, like cooling liquid metals, solar systems, power production, solar energy, thermal extrusion systems cooling of machine equipment, transformer oil and microelectronics. Further, flow of nanoparticles containing gyrotactic microorganisms has interesting applications in microbial fuel cells, microfluidic devices, bio-technology and enzyme biosensors.

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Analysis of the Influence of the Soret Number on Axisymmetric Flow Through the Application of the Successive Linearization Technique

Pramod Kumar,

Malga,

Appidi

et al. 2024

Heat Trans

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This study presents a mathematical model that delineates the radially expanding axisymmetric discharge of an electrically conductive fluid over a surface, taking into account the effects of the Soret number. The dynamics of the flow are examined as the surface experiences exponential radial expansion. To transform the governing nonlinear partial differential equations into standard derivative forms, similarity transformations are applied. The flow dynamics are further investigated using the Successive Linearization Method. To achieve accurate solutions that converge effectively to the complete numerical solution, the Chebyshev spectral method is employed to solve the resulting linear system. Previous research is cited to support the findings related to the distribution of velocity, temperature, and concentration, emphasizing the convergence and accuracy of the solution while considering the influence of various fluid parameters.

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Diffusion of Chemically Reactive Species in Stagnation-Point Flow of a Third Grade Fluid: a Hybrid Numerical Method

Cited by 9 publications

References 23 publications

Brownian movement and thermophoretic aspects in third-grade nanofluid over oscillatory moving sheet

Brownian movement and thermophoretic aspects in third-grade nanofluid over oscillatory moving sheet

Utilization of Second Order Slip, Activation Energy and Viscous Dissipation Consequences in Thermally Developed Flow of Third Grade Nanofluid with Gyrotactic Microorganisms

Analysis of the Influence of the Soret Number on Axisymmetric Flow Through the Application of the Successive Linearization Technique

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