Thermal Radiation and Magnetohydrodynamics Effect on Unsteady Squeezing Non-Newtonian Nanofluids with Heat and Mass Transfer

2021 ◽  
Vol 10 (3) ◽  
pp. 388-407
Author(s):  
Syeda Nazia Jamal ◽  
Shahaz Ahmad Khan ◽  
Sher Muhammad ◽  
Mohammad Ishaq ◽  
Hamid Khan ◽  
...  
Keyword(s):  
Thermal Radiation ◽  
Numerical Scheme ◽  
Analytical Approach ◽  
Flow Model ◽  
Physical Parameters ◽  
Parallel Plates ◽  
Nanofluid Flow ◽  
Similarity Transformations ◽  
Research Article ◽  
Basic Equations

The research article primarily deals with non-Newtonian squeezing nanofluid flow between parallel plates by taking into account different phenomena in the modeled problem. The thermal radiation and magneto hydrodynamics impact in fluid flow model is mainly focused in this analysis. The proposed nanofluid model also encompasses thermophoresis and the Brownian movement effects. The basic equations of nanofluids model such as velocity, heat and concentration equations are transformed into ordinary differential equations with the help of appropriate similarity transformations. As a tool, the semi numerical scheme is used for solving the proposed problem with the greatest possible accuracy for the purpose of illustration and analysis. The basic physical parameters involved in velocity, heat and concentration profiles in the nanofluids flow are discussed in detail. The variation of skin friction, Nusselt number and Sherwood number along with their impacts on the velocity, heat and concentration are determined. It is also focused to show the influence of different physical parameters graphically as well as in tabulated form. Excellent agreement between the results of semi analytical method and already published work is obtained, indicating the validity of the semi analytical approach. The study presented herein fills the gap in the literature, and will have a broad impact in industrial and biomedical fields.

scholarly journals Analytical Study of Heat Transfer of a Unsteady Newtonian Nanofluid Flow Problem

2020 ◽  
Vol 15 ◽  
Keyword(s):  
Heat Transfer ◽  
Volume Fraction ◽  
Skin Friction Coefficient ◽  
Parallel Plates ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Flow And Heat Transfer ◽  
Transfer Behavior ◽  
Basic Equations ◽  
Squeeze Number

Heat transfer behavior of unsteady flow of squeezing nanofluid (Copper+water) between two parallel plates is investigated. By using the appropriate transformation for the velocity and temperature, the basic equations governing the flow and heat transfer were reduced to a set of ordinary differential equations. These equations subjected to the associated boundary conditions were solved analytically using Homotopy Perturbation Method and numerically using Runge-Kutta-Fehlberg method with shooting technique. Effects on the behavior of velocity and temperature for various values of relevant parameters are illustrated graphically. The skin-friction coefficient, heat transfer and Nusselt number rate are also tabulated for various governing parameters. The results indicate that, for nanofluid flow, the rates of heat transfer and velocity had direct relationship with squeeze number and nanoparticle volume fraction they are also a decreasing function of those parameters

scholarly journals The NANOFLUID FLOW BETWEEN PARALLEL PLATES AND HEAT TRANSFER IN PRESENCE OF CHEMICAL REACTION AND POROUS MATRIX

2020 ◽  
Vol 50 (4) ◽  
pp. 283-289
Author(s):  
S. Jena ◽  
S. R. Mishra ◽  
P.K. Pattnaik ◽  
Ram Prakash Sharma
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Chemical Reaction ◽  
Numerical Solutions ◽  
Porous Matrix ◽  
Parallel Plates ◽  
Nanofluid Flow ◽  
Similarity Transformations ◽  
Fourth Order Method ◽  
Source Sink

This paper deals with nanofluid flow between parallel plates and heat transfer through porous media with heat source /sink. The governing equations are transformed into self-similar ordinary differential equations by adopting similarity transformations and then the converted equations are solved numerically by Runge-Kutta fourth order method. Special emphasis has been given to the parameters of physical interest which include Prandtl number, magnetic parameter, porous matrix, chemical reaction parameter and heat source parameter. The results obtained for velocity, temperature and concentration are shown in graphs. The comparison of the special case of this present results with the existing numerical solutions in the literature shows excellent agreement.

Numerical exploration of the combined effects of non-linear thermal radiation and variable thermo-physical properties on the flow of Casson nanofluid over a wedge

2017 ◽  
Vol 13 (4) ◽  
pp. 628-647 ◽  
Author(s):  
Archana M. ◽  
Gireesha B.J. ◽  
Prasannakumara B.C. ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Physical Properties ◽  
Physical Parameters ◽  
Content Type ◽  
Casson Nanofluid ◽  
Linear Ordinary Differential Equations ◽  
Similarity Transformations ◽  
Non Linear ◽  
Thermo Physical Properties

Purpose The effect of non-linear thermal radiation and variable thermo-physical properties are investigated in the Falkner-Skan flow of a Casson nanofluid in the presence of magnetic field. The paper aims to discuss this issue. Design/methodology/approach Selected bunch of similarity transformations are used to reduce the governing partial differential equations into a set of non-linear ordinary differential equations. The resultant equations are numerically solved using Runge-Kutta-Fehlberg fourth-fifth-order method along with shooting technique. Findings The velocity, temperature and concentration profiles are evaluated for several emerging physical parameters and are analyzed through graphs and tables in detail. Research limitations/implications This study only begins to reveal the research potential and pitfalls of research and publishing on boundary-layer flow, heat and mass transfer of Casson nanofluid past and the moving and static wedge-shaped bodies. Originality/value It is found that the presence of non-linear thermal radiation and variable properties has more influence in heat transfer. Furthermore, temperature profile increases as the radiation parameter increases.

Effect of thermal radiation on engine oil nanofluid flow over a permeable wedge under convective heating

2019 ◽  
Vol 15 (1) ◽  
pp. 187-205 ◽  
Author(s):  
Gangadhar Kotha ◽  
Keziya Kukkamalla ◽  
S.M. Ibrahim
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Engine Oil ◽  
Convective Heating ◽  
Nanofluid Flow ◽  
Content Type ◽  
Similarity Transformations ◽  
Keller Box Method ◽  
Flow And Heat Transfer ◽  
Numerical Studies

Purpose The purpose of this paper is to examine the magneto hydrodynamic flow and heat transfer of nanofluids over a permeable wedge based on engine oil which is under the effects of thermal radiation and convective heating. Design/methodology/approach The equations governing the flow are transformed into differential equations by applying similarity transformations. Keller box method is used to bring out the numerical solution. Findings The discovery interprets that temperature as well as the velocity of Ag-engine oil nanofluids are more noticeable than Cu-engine oil nanofluids. Thermal boundary layer increases for radiation parameter as well as Biot number. Fluctuations of co-efficient of drag skin friction as well heat transfer rate at the wall are also tested. Originality/value Till now, no numerical studies are reported on the heat transfer enhancement of the permeable wedge under thermal radiation on engine oil nanofluid flow by considering convective heating.

scholarly journals Unsteady Bioconvection Squeezing Flow in a Horizontal Channel with Chemical Reaction and Magnetic Field Effects

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Qingkai Zhao ◽  
Hang Xu ◽  
Longbin Tao
Keyword(s):  
Magnetic Field ◽  
Chemical Reaction ◽  
Oil Recovery ◽  
Oil And Gas ◽  
Sedimentary Basins ◽  
Squeezing Flow ◽  
Physical Parameters ◽  
Magnetic Field Effects ◽  
Parallel Plates ◽  
Similarity Transformations

The time-dependent mixed bioconvection flow of an electrically conducting fluid between two infinite parallel plates in the presence of a magnetic field and a first-order chemical reaction is investigated. The fully coupled nonlinear systems describing the total mass, momentum, thermal energy, mass diffusion, and microorganisms equations are reduced to a set of ordinary differential equations via a set of new similarity transformations. The detailed analysis illustrating the influences of various physical parameters such as the magnetic, squeezing, and chemical reaction parameters and the Schmidt and Prandtl numbers on the distributions of temperature and microorganisms as well as the skin friction and the Nusselt number is presented. The conclusion is drawn that the flow field, temperature, and chemical reaction profiles are significantly influenced by magnetic parameter, heat generation/absorption parameter, and chemical parameter. Some examples of potential applications of such bioconvection could be found in pharmaceutical industry, microfluidic devices, microbial enhanced oil recovery, modeling oil, and gas-bearing sedimentary basins.

scholarly journals Magneto-Bioconvection Flow of Williamson Nanofluid over an Inclined Plate with Gyrotactic Microorganisms and Entropy Generation

Fluids ◽  
2021 ◽  
Vol 6 (3) ◽  
pp. 109
Author(s):  
Tunde A. Yusuf ◽  
Fazle Mabood ◽  
B. C. Prasannakumara ◽  
Ioannis E. Sarris
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Physical Parameters ◽  
Bejan Number ◽  
Inclined Plate ◽  
Similarity Transformations ◽  
Schmidt Numbers ◽  
Flow Through ◽  
Inclined Plates ◽  
Limit Approximation

The fluid flow through inclined plates has several applications in magneto-aerodynamics, materials processing and magnetohydrodynamic propulsion thermo-fluid dynamics. Inspired by these applications, the rate of entropy production in a bio-convective flow of a magnetohydrodynamic Williamson nanoliquid over an inclined convectively heated stretchy plate with the influence of thermal radiation, porous materials and chemical reaction has been deliberated in this paper. The presence of microorganisms aids in stabilizing the suspended nanoparticles through a bioconvection process. Also, the thermal radiation assumed an optically thick limit approximation. With the help of similarity transformations, the coupled partial differential equations are converted to nonlinear ordinary differential equations and the resulting model is numerically tackled using the shooting method. The influences of the determining thermo-physical parameters on the flow field are incorporated and extensively discussed. The major relevant outcomes of the present analysis are that the upsurge in values of Schmidt number decays the mass transfer characteristics, but the converse trend is depicted for boost up values of the thermophoresis parameter. Enhancement in bioconvection Peclet and Schmidt numbers deteriorates the microorganism density characteristics. Further, the upsurge in the Williamson parameter declines the Bejan number and irreversibility ratio.

scholarly journals On Unsteady Three-Dimensional Axisymmetric MHD Nanofluid Flow with Entropy Generation and Thermo-Diffusion Effects

2017 ◽  
Author(s):  
Mohammed Almakki ◽  
Sharadia Dey ◽  
Sabyasachi Mondal ◽  
Precious Sibanda
Keyword(s):  
Nusselt Number ◽  
Thermal Radiation ◽  
Entropy Generation ◽  
Volume Fraction ◽  
Particle Volume Fraction ◽  
Three Dimensional ◽  
Linearization Method ◽  
Physical Parameters ◽  
Particle Volume ◽  
Nanofluid Flow

We investigate entropy generation in unsteady three-dimensional axisymmetric MHD nanofluid flow over a non-linearly stretching sheet. The flow is subject to thermal radiation and a chemical reaction. The conservation equations were solved using the spectral quasi-linearization method. The novelty of the work is in the study of entropy generation in three-dimensional axisymmetric MHD nanofluid and the choice of the spectral quasilinearization method as the solution method. The effects of Brownian motion and thermophoresis are also taken into account when the nanofluid particle volume fraction on the boundary in passively controlled. The results show that as the Hartman number increases, both the Nusselt number and the Sherwood number decrease whereas the skin friction increases. It is further shown that an increase in the thermal radiation parameter corresponds to a decrease in the Nusselt number. Moreover, entropy generation increases with the physical parameters.

MHD FLOW OF AN EYRING-POWELL FLUID WITH THE EFFECT OF THERMAL RADIATION, JOULE HEATING AND VISCOUS DISSIPATION

2020 ◽  
Vol 9 (11) ◽  
pp. 9259-9271
Author(s):  
K.R. Babu ◽  
G. Narender ◽  
K. Govardhan
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Ordinary Differential Equations ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Mhd Flow ◽  
Physical Parameters ◽  
Shooting Technique ◽  
Similarity Transformations ◽  
The Magnetic Field

A two-dimensional stream of an magnetohydrodynamics (MHD) Eyring-Powell fluid on a stretching surface in the presence of thermal radiation, viscous dissipation and the Joule heating is analyzed. The flow model in the form of the Partial Differential Equations (PDEs) is transformed into a system of non-linear and coupled Ordinary Differential Equations (ODEs) by implementing appropriate similarity transformations. The resulting ordinary differential equations are solved numerically by the shooting technique with Adams-Moulton Method of fourth order. The numerical solution obtained for the velocity and temperature profiles has been presented through graphs for different choice of the physical parameters. The magnetic field is found to have a direct relation with the temperature profile and an inverse with the velocity profile. Increasing the thermal radiation, the temperature tends to rise.

An Unsteady Magnetohydrodynamic Jeffery Nanofluid Flow Over a Shrinking Sheet with Thermal Radiation and Convective Boundary Condition Using Spectral Quasilinearisation Method

2016 ◽  
Vol 13 (10) ◽  
pp. 7483-7492 ◽  
Author(s):  
Sicelo P Goqo ◽  
Sabyasachi Mondal ◽  
Precious Sibanda ◽  
Sandile S Motsa
Keyword(s):  
Thermal Conductivity ◽  
Boundary Condition ◽  
Thermal Radiation ◽  
Convective Boundary Condition ◽  
Shrinking Sheet ◽  
Physical Parameters ◽  
Concentration Profiles ◽  
Nanofluid Flow ◽  
Convective Boundary ◽  
Wide Range

We investigate the combined effects of a magnetic field and a convective boundary condition on unsteady Jeffrey nanofluid flow over a shrinking sheet with thermal radiation and heat generation. The effects of several important factors such as particle size and shape, the clustering of particles and the effective thermal conductivity of nanofluids has not been studied adequately. It is important for more research so as to ascertain the effects of these factors on the thermal conductivity of a wide range of nanofluids. The non-dimensional governing equations are derived and solved using a spectral quasilinearisation method. Among other findings, we show that thermal radiation enhances both the temperature and concentration profiles. Furthermore, the effects of different physical parameters on the flow velocity, temperature and concentration profiles are shown graphically and discussed in detail. Comparison with previously published work shows an excellent agreement.

Inclined Magnetic Field, Thermal Radiation, and Hall Current Effects on Mixed Convection Flow Between Vertical Parallel Plates

2019 ◽  
Vol 141 (10) ◽  
Author(s):  
K. Kaladhar ◽  
K. Madhusudhan Reddy ◽  
D. Srinivasacharya
Keyword(s):  
Magnetic Field ◽  
Mixed Convection ◽  
Thermal Radiation ◽  
Hall Current ◽  
Convection Flow ◽  
Physical Parameters ◽  
Inclined Magnetic Field ◽  
Parallel Plates ◽  
Mixed Convection Flow ◽  
The Impact

Abstract This analysis studies the impact of an inclined magnetic field, hall current, and thermal radiation on fully developed electrically conducting mixed convection flow through a channel. The governing equations are nondimensionalized. The resulting system of nonlinear ordinary differential equations is solved utilizing spectral quasi-linearization method. Impact of all the pertaining flow parameters of this study on all the dimensionless profiles was calculated and presented through plots. Also, the nature of the physical parameters was calculated and presented in table form. This study clearly exhibits that the inclined magnetic field influences the fluid flow remarkably.

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