Joule Heating and Thermal Radiation Effects on MHD Boundary Layer Flow of a Nanofluid over an Exponentially Stretching Sheet in a Porous Medium

Rao, J. Anand; Vasumathi, G.; Mounica, Jakkula

doi:10.4236/wjm.2015.59016

Cited by 21 publications

(15 citation statements)

References 15 publications

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“…In order to check the validity of current solutions a comparison is carried out between present results and the results given in Rudraswamy and Gireesha [44], Anand Rao et al [45], Meraj Mustafa et al [46] and Anuar Ishak [47]. This comparison is shown in the tables 1 and 2 where a fine conformity has noticed in both results and hence ensured the validity of current results.…”

Section: Solving'supporting

confidence: 61%

Numerical study of Casson-Nanofluid flow past an exponentially stretching sheet filled by porous medium in presence of velocity and thermal slip effects

Rao¹,

Vijayakumar

Murthy³

2022

ijhs

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An inquiry of the non-Newtonian Casson flow of nanofluid through a non-linear exponentially expanding sheet is one of the things that will be covered in the course of this work. When a magnetic field, chemical reaction, thermophoresis, and Brownian motion phenomena are present, the influence of coupled velocity and thermal slip conditions on porous embedded fluid flow is investigated. These phenomena include Brownian motion. In particular, the flow of fluid through porous embedded structures is studied in the presence of a magnetic field. Because the mechanics of fluid motion are extremely sequential and non-linear, fluid dynamics may be described as having these characteristics. In order to acquire an approximate answer, what has been done here is to combine the Runge-Kutta method with a numerical approach that makes use of the shooting technique and a shooting scheme. This has been done in order to get an approximation. The degree to which the thermo-fluid parameters are susceptible to change is shown by both the tabular and graphical representations of the data. When the new findings are contrasted with the findings of the earlier study, there may be found to be a high degree of congruence between the two sets of findings.

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Section: Solving'supporting

confidence: 61%

Numerical study of Casson-Nanofluid flow past an exponentially stretching sheet filled by porous medium in presence of velocity and thermal slip effects

Rao¹,

Vijayakumar

Murthy³

2022

ijhs

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“…This study is an extension of work done by [4,5], Bachok et al [7] and Adnan et al [41]. The purpose of this study is to propose a new model that investigates the behavior of the flow and heat transfer for an unsteady stagnation-point flow over an exponential stretching/shrinking sheet in the presence of suction/injection and the velocity slip parameter immersed in nanofluid.…”

Section: Introductionmentioning

confidence: 92%

“…The physical quantities of interest are the local skin friction coefficient C f and local Nusselt number Nu x , which are given by Equation 14(see Rao et al [5]):…”

Section: Of 18mentioning

confidence: 99%

“…Further, Zaib et al [4] studied the unsteady boundary layer flow and heat transfer passes through an exponential shrinking sheet in a Copper water nanofluid with the presence of a suction effect. The effects of joule heating and thermal radiation on the Magnetohydrodynamics (MHD) boundary layer flow over an exponential stretching sheet in a porous medium immersed in nanofluid was investigated by Rao et al [5]. Furthermore, Aleng et al [6] applied the Buongiorno model to study the flow and heat transfer over an exponential sheet in nanofluid.…”

Section: Introductionmentioning

confidence: 99%

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Unsteady Stagnation-Point Flow and Heat Transfer Over a Permeable Exponential Stretching/Shrinking Sheet in Nanofluid with Slip Velocity Effect: A Stability Analysis

et al. 2018

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A model of unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet with the presence of velocity slip is considered in this paper. The nanofluid model proposed by Tiwari and Das is applied where water with Prandtl number 6.2 has been chosen as the base fluid, while three different nanoparticles are taken into consideration, namely Copper, Alumina, and Titania. The ordinary differential equations are solved using boundary value problem with fourth order accuracy (bvp4c) program in Matlab to find the numerical solutions of the skin friction and heat transfer coefficients for different parameters such as stretching/shrinking, velocity slip, nanoparticle volume fraction, suction/injection, and also different nanoparticles, for which the obtained results (dual solutions) are presented graphically. The velocity and temperature profiles are presented to show that the far field boundary conditions are asymptotically fulfilled, and validate the findings of dual solutions as displayed in the variations of the skin friction and heat transfer coefficients. The last part is to perform the stability analysis to determine a stable and physically-realizable solution.

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“…Yadav and Sharma [15] investigated the effect of Joule heating on MHD flow due to exponentially moving stretching sheet in porous media. Rao et al [16] reported the heat and mass transfer characteristics of a nanofluid over an exponentially stretching sheet in the presence of Joule heating. Adeniyan and Adigun [17] reported that an increase in the value of Eckert number increases the thickness of the thermal boundary layer.…”

Section: Introductionmentioning

confidence: 99%

Effect of Joule heating on the flow over an exponentially stretching sheet with convective thermal condition

Srinivasacharya

Jagadeeshwar

2019

Math Sci

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This article analyzes the Joule heating effect on the viscous fluid flow over a porous sheet stretching exponentially by employing convective boundary condition. The numerical solutions to the governing equations are obtained using a local similarity and non-similarity approach together with a successive linearization procedure and a Chebyshev collocation method. The influence of the slip parameter, suction/injection parameter, magnetic parameter, Joule heating parameter and Biot number on the velocity, temperature, concentration, skin friction, rate of heat transfer and rate of mass transfer is displayed in graphs. The velocity is found to decay for higher estimation of magnetic parameter, while a thermal field is enhanced for higher Joule heating and Biot number. It is also observed from the investigation that the rate of heat transfer reduces with Joule heating and enhances with increasing Biot number.

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Joule Heating and Thermal Radiation Effects on MHD Boundary Layer Flow of a Nanofluid over an Exponentially Stretching Sheet in a Porous Medium

Cited by 21 publications

References 15 publications

Numerical study of Casson-Nanofluid flow past an exponentially stretching sheet filled by porous medium in presence of velocity and thermal slip effects

Numerical study of Casson-Nanofluid flow past an exponentially stretching sheet filled by porous medium in presence of velocity and thermal slip effects

Unsteady Stagnation-Point Flow and Heat Transfer Over a Permeable Exponential Stretching/Shrinking Sheet in Nanofluid with Slip Velocity Effect: A Stability Analysis

Effect of Joule heating on the flow over an exponentially stretching sheet with convective thermal condition

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