Investigation of suspended nanoliquid flow of Eyring–Powell fluid with gyrotactic microorganisms and density number

The aim of the current investigation is to discuss the behavior of mixed convection magnetohydrodynamic flow of Eyring–Powell nanoliquid subjected to gyrotactic microorganisms over a stretchable cylinder. Energy communication is developed through the first law of thermodynamics and deliberated in the manifestation of viscous dissipation. Furthermore, Brownian motion and thermophoresis effects are also considered. Nonlinear system of partial differential equations is altered into ordinary one due to employing transformations. The given systems are then solved through ND-solve technique. Impact of influential variables on velocity, motile microorganism’s temperature, and concentration is deliberated graphically. Skin friction coefficient, mass transfer rate, density number, and Nusselt number are numerically computed versus different influential variables. Velocity and temperature have opposite impact for curvature parameter. For higher estimation of fluid parameter, temperature and velocity fields boost up.

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Impact of double-diffusive convection and motile gyrotactic microorganisms on magnetohydrodynamics bioconvection tangent hyperbolic nanofluid

Open Physics ◽

10.1515/phys-2020-0009 ◽

2020 ◽

Vol 18 (1) ◽

pp. 74-88 ◽

Cited By ~ 1

Author(s):

Tanveer Sajid ◽

Muhammad Sagheer ◽

Shafqat Hussain ◽

Faisal Shahzad

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Transfer Rate ◽

Mass Transfer Rate ◽

Physical Nature ◽

Working Fluid ◽

Nonlinear Ordinary Differential Equations ◽

Gyrotactic Microorganisms ◽

Motile Gyrotactic Microorganisms ◽

Double Diffusive

AbstractThe double-diffusive tangent hyperbolic nanofluid containing motile gyrotactic microorganisms and magnetohydrodynamics past a stretching sheet is examined. By adopting the scaling group of transformation, the governing equations of motion are transformed into a system of nonlinear ordinary differential equations. The Keller box scheme, a finite difference method, has been employed for the solution of the nonlinear ordinary differential equations. The behaviour of the working fluid against various parameters of physical nature has been analyzed through graphs and tables. The behaviour of different physical quantities of interest such as heat transfer rate, density of the motile gyrotactic microorganisms and mass transfer rate is also discussed in the form of tables and graphs. It is found that the modified Dufour parameter has an increasing effect on the temperature profile. The solute profile is observed to decay as a result of an augmentation in the nanofluid Lewis number.

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Dual solutions of an unsteady magnetohydrodynamic stagnation-point flow of a nanofluid with heat and mass transfer in the presence of thermophoresis

Proceedings of the Institution of Mechanical Engineers Part E Journal of Process Mechanical Engineering ◽

10.1177/0954408916686626 ◽

2017 ◽

Vol 232 (2) ◽

pp. 155-164 ◽

Cited By ~ 6

Author(s):

Aurang Zaib ◽

Krishnendu Bhattacharyya ◽

SA Urooj ◽

Sharidan Shafie

Keyword(s):

Mass Transfer ◽

Stagnation Point ◽

Transfer Rate ◽

Volume Fraction ◽

Mass Transfer Rate ◽

Skin Friction Coefficient ◽

Dual Solutions ◽

The Self ◽

Stagnation Point Flow ◽

Self Similar

The unsteady two-dimensional magnetohydrodynamic stagnation point flow of a nanofluid with thermophoresis effect is investigated numerically. The technique of similarity transformation is implemented to obtain the self-similar ordinary differential equations and then the self-similar equations are solved numerically using shooting method. This analysis explores the conditions of the existence, non-existence, uniqueness, and duality of the solutions of self-similar equations numerically. Dual solutions of velocity, temperature and concentration profiles are reported for different values of the each parameter involved for two types of nanoparticles, namely copper (Cu) and gold (Au) in the water-based fluid. It is found that the dual solutions exist for negative values of unsteady parameter A, whereas for positive values of unsteady parameter, the solution is unique. The results also indicate that the nanoparticle volume fraction reduces the skin friction coefficient, the heat transfer rate as well as mass transfer rate. Further, due to increase of thermophoresis parameter, the concentration inside the boundary layer reduces and the mass transfer rate enhances. In addition, to validate the present numerical results, comparison with published results is made and found to be in excellent agreement.

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Magnetohydrodynamic(MHD) Boundary Layer Flow of Eyring-Powell Nanofluid Past Stretching Cylinder With Cattaneo-Christov Heat Flux Model

Nonlinear Engineering ◽

10.1515/nleng-2017-0167 ◽

2019 ◽

Vol 8 (1) ◽

pp. 303-317 ◽

Cited By ~ 5

Author(s):

Wubshet Ibrahim ◽

Bullo Hindebu

Keyword(s):

Differential Equations ◽

Magnetic Parameter ◽

Skin Friction Coefficient ◽

Local Skin ◽

Fluid Parameter ◽

Non Linear ◽

Local Skin Friction ◽

Curvature Parameter ◽

Layer Flow ◽

Mhd Boundary Layer Flow

Abstract This study analyzed the MHD boundary layer flow of Eyring-Powell nanofluid past stretching cylinder with Cattaneo-Christov heat flux model. The governing non-linear partial differential equations corresponding to the momentum, energy and concentration have been formulated and transformed into a set of non-linear ordinary differential equations by using similarity transformations. Then the resulting non-linear high order ordinary differential equations of momentum, energy and concentration, subjected to boundary conditions were solved numerically by utilizing the second-order accurate implicit finite difference method known as Keller-Box which is programmed in the MATLABR2017b software. The results indicated that the velocity profile increases as the Eyring-Powell fluid parameter M and the curvature parameter γ increase but it decreases as the magnetic parameter Ha increases. Both the temperature and the concentration profiles have revealed an increment pattern for large values of the magnetic parameter Ha and the thermophoresis parameter Nt but a decrement manner with increasing values of the Eyring-Powell fluid parameter M. The Brownian motion parameter Nb has shown an opposite influence on the temperature and the concentration profiles. The results also depicted that the local skin friction coefficient increases with increasing in Eyring-Powell fluid parameter M, magnetic parameter Ha. Besides, it is found that both the local Nusselt number Nux and the local Sherwood number Shx are higher for large vales of Eyring-Powell fluid parameter M and curvature parameter γ. Furthermore, the present results for the local skin friction coefficient, the local Nusselt number and the local Sherwood number are validated with the data of previously published literature for various limiting conditions where a very sound agreement has been attained.

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Non-Similar Comutational Solutions for Double-Diffusive MHD Transport Phenomena for Non-Newtnian Nanofluid From a Horizontal Circular Cylinder

Nonlinear Engineering ◽

10.1515/nleng-2018-0035 ◽

2019 ◽

Vol 8 (1) ◽

pp. 470-485 ◽

Cited By ~ 2

Author(s):

V. Ramachandra Prasad ◽

S. Abdul gaffar ◽

B. Rushi Kumar

Keyword(s):

Mass Transfer ◽

Circular Cylinder ◽

Differential Equations ◽

Skin Friction ◽

Heat And Mass Transfer ◽

Transfer Rate ◽

Mass Transfer Rate ◽

Casson Fluid ◽

Skin Friction Coefficient ◽

Physical Parameters

Abstract This article aims to study theoretically the combined magneto hydrodynamic flows of casson viscoplastic nanofluid from a horizontal isothermal circular cylinder in non-Darcy porous medium. The impacts of Brownian motion and thermophoresis are consolidated and studied. The governing partial differential equations are converted into nonlinear ordinary differential equations using suitable non-similarity transformation and are solved numerically using Keller-Box finite difference technique. The numerical method is validated with previous published work and the results are found to be in excellent agreement. Numerical results for velocity, temperature, concentration along with skin friction coefficient, heat and mass transfer rate are discussed for various values of physical parameters. It is observed that velocity, heat and mass transfer rate are increased with increasing casson fluid parameter whereas temperature, concentration and skin friction are decreased. Velocity is reduced with increasing Forchheimer parameter whereas temperature and nano-particle concentration are both enhanced. An increase in magnetic parameter is seen to increase temperature and concentration whereas velocity, skin friction heat and mass transfer rate are decreased. The present model finds applications in electric-conductive nano-materials of potential use in aviation and different enterprises, energy systems and thermal enhancement of industrial flow processes.

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Free Convective Mass Transfer at Isosceles Triangular Surfaces of Varying Inclination

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc20032080 ◽

2003 ◽

Vol 68 (11) ◽

pp. 2080-2092 ◽

Cited By ~ 1

Author(s):

Martin Keppert ◽

Josef Krýsa ◽

Anthony A. Wragg

Keyword(s):

Mass Transfer ◽

Transfer Rate ◽

Mass Transfer Rate ◽

Mass Transfer Process ◽

Sulfate Solution ◽

Convective Mass Transfer ◽

Varying Length ◽

Inclined Surface ◽

Vertical Case ◽

Limiting Diffusion Current

The limiting diffusion current technique was used for investigation of free convective mass transfer at down-pointing up-facing isosceles triangular surfaces of varying length and inclination. As the mass transfer process, copper deposition from acidified copper(II) sulfate solution was used. It was found that the mass transfer rate increases with inclination from the vertical to the horizontal position and decreases with length of inclined surface. Correlation equations for 7 angles from 0 to 90° were found. The exponent in the ShL-RaL correlation ranged from 0.247 for the vertical case, indicating laminar flow, to 0.32 for inclinations of 60 to 90°, indicating mixed or turbulent flow. The general correlation ShL = 0.358(RaL sin θ)0.30 for the RaL sin θ range from 7 × 106 to 2 × 1011 and inclination range from 15 to 90° was obtained.

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Thermal analysis of higher-order chemical reactive viscoelastic nanofluids flow in porous media via stretching surface

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/09544062211008481 ◽

2021 ◽

pp. 095440622110084

Author(s):

Mohamed R Eid ◽

F Mabood

Keyword(s):

Brownian Motion ◽

Transfer Rate ◽

Fluid Velocity ◽

Mass Transfer Rate ◽

Higher Order ◽

Flow In Porous Media ◽

Viscoelastic Parameter ◽

Suction Parameter ◽

And Brownian Motion ◽

Magnetic Strength

The essence of the present investigation is to reveal the hydrothermal variations of viscoelastic nanofluid flow in a porous medium over a stretchable surface. A higher-order chemical reaction is incorporated with thermophoresis and Brownian motion. Similarity conversions reduce the resulting equations into their dimensionless form and then solved using Runge-Kutta-Fehlberg (RKF) based shooting procedure. The effects of underlying factors on the flow are discussed through various graphs and tables. Computational results for noteworthy skin friction and heat and mass transport are presented and reviewed with sensible judgment. The study reveals that the fluid velocity reduces with incremental values of the viscoelastic parameter [Formula: see text] and magnetic strength. The temperature reduces for the suction parameter with the existence of stretchable but enhances with thermophoresis and Brownian motion effects. Heat transfer rate amplifies for [Formula: see text] but declines for [Formula: see text]. Mass transfer rate increases with the increase in Brownian parameter and Schmidt number. A comparative analysis shows a better agreement with previous results in limiting scenarios.

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Nanofluid Flow on a Shrinking Cylinder with Al2O3 Nanoparticles

Mathematics ◽

10.3390/math9141612 ◽

2021 ◽

Vol 9 (14) ◽

pp. 1612

Author(s):

Iskandar Waini ◽

Anuar Ishak ◽

Ioan Pop

Keyword(s):

Heat Transfer ◽

Heat Flux ◽

Friction Factor ◽

Surface Heat Flux ◽

Transfer Rate ◽

Surface Heat ◽

Al2o3 Nanoparticles ◽

Nanofluid Flow ◽

Curvature Parameter ◽

Over Time

This study investigates the nanofluid flow towards a shrinking cylinder consisting of Al2O3 nanoparticles. Here, the flow is subjected to prescribed surface heat flux. The similarity variables are employed to gain the similarity equations. These equations are solved via the bvp4c solver. From the findings, a unique solution is found for the shrinking strength λ≥−1. Meanwhile, the dual solutions are observed when λc<λ<−1. Furthermore, the friction factor Rex1/2Cf and the heat transfer rate Rex−1/2Nux increase with the rise of Al2O3 nanoparticles φ and the curvature parameter γ. Quantitatively, the rates of heat transfer Rex−1/2Nux increase up to 3.87% when φ increases from 0 to 0.04, and 6.69% when γ increases from 0.05 to 0.2. Besides, the profiles of the temperature θ(η) and the velocity f’(η) on the first solution incline for larger γ, but their second solutions decline. Moreover, it is noticed that the streamlines are separated into two regions. Finally, it is found that the first solution is stable over time.

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A novel formulation of 3D Jeffery fluid flow near an irregular permeable surface having chemical reactive species

Advances in Mechanical Engineering ◽

10.1177/16878140211013609 ◽

2021 ◽

Vol 13 (5) ◽

pp. 168781402110136

Author(s):

Mumtaz Khan ◽

Amer Rasheed ◽

Shafqat Ali ◽

Qurat-ul-Ain Azim

Keyword(s):

Fluid Flow ◽

Variable Thickness ◽

Mass Transfer Rate ◽

Skin Friction Coefficient ◽

Deborah Number ◽

Pictorial Representation ◽

Fluid Temperature ◽

Flow Parameters ◽

Opposite Behavior ◽

Thickness Parameter

The main objective of this paper is to offer a comprehensive study regarding solar radiation and MHD effects on 3D boundary layer Jeffery fluid flow over a non-uniform stretched sheet along with variable thickness, porous medium and chemical reaction of first order are assumed. The system of equations representing temperature, velocity and concentration fields are converted into dimensionless form by introducing dimensionless variables. Thereafter, the aforesaid equations are solved with the help of BVP4C in MATLAB. The numerical results obtained through this scheme are more accurate when compared with those in the existing literature. In order to have a pictorial representation, the effects of material and flow parameters on velocity, temperature and concentration profiles are presented through graphs. Moreover, the numerical values of heat and mass transfer rate and skin friction coefficient are given in tabular form. It is evident from the acquired results, that the velocity offers two fold behavior for variable thickness parameter that is, n < 1 close and away from the non-uniform surface. It is also noted that the axial and transverse velocities show an increasing behavior for Deborah number while the fluid temperature and concentration shows opposite behavior at the same time.

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