Effects of Heat Source/Sink and Chemical Reaction on MHD Maxwell Nanofluid Flow Over a Convectively Heated Exponentially Stretching Sheet Using Homotopy Analysis Method

Sravanthi, C. S.; Gorla, Rama Subba Reddy

doi:10.1515/ijame-2018-0009

Cited by 43 publications

(24 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here, viscous dissipation, induced magnetic field, Hall, and electric field effects are neglected. Under these assumptions and using boundary layer approximations, the conservation laws are given as follows:

\frac{\partial u}{\partial r} + \frac{υ}{r} + \frac{\partial w}{\partial z} = 0,

u \frac{\partial u}{\partial r} + w \frac{\partial u}{\partial z} - \frac{v^{2}}{r} = υ \frac{\partial^{2} u}{\partial z^{2}} - \frac{σ {B_{0}}^{2} u}{ρ} - \frac{v υ}{K},

u \frac{\partial v}{\partial r} + w \frac{\partial v}{\partial z} + \frac{italicuv}{r} = υ \frac{\partial^{2} v}{\partial z^{2}} - \frac{σ {B_{0}}^{2} u}{ρ},

ρ c_{p} true(u \frac{\partial T}{\partial r} + w \frac{\partial T}{\partial z} true) = k \frac{\partial^{2} T}{\partial z^{2}} + \frac{D_{m} K_{T}}{c_{s}} \frac{\partial^{2} C}{\partial z^{2}} + Q_{0} (T - T_{normal∞}),

u \frac{\partial C}{\partial r} + w \frac{\partial C}{\partial z} = D_{m} \frac{\partial^{2} C}{\partial z^{2}} + \frac{D_{m} K_{T}}{T_{m}} \frac{\partial^{2} T}{\partial z^{2}} <...>

…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Hayat et al studied the significant consequences of heat generation/absorption in a second‐grade fluid due to a rotating disk. Sravanthi and Gorla investigated the effects of heat source/sink on MHD Maxwell nanofluid flow exponentially stretching sheet. Sravanthi illustrated slip flow of nanofluid over a stretching cylinder in the presence of nonlinear thermal radiation and nonuniform heat source/sink.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effect of heat source/sink on MHD flow due to porous rotating disk with variable thickness in the presence of cross diffusion

Sravanthi

2019

Heat Trans. Asian Res.

View full text Add to dashboard Cite

An analysis of steady magnetohydrodynamic axisymmetric flow of a viscous incompressible electrically conducting fluid due to porous rotating disk with variable thickness in the presence of heat source/sink is presented. Soret and Dufour effects (cross-diffusion) are also considered. The governing partial differential equations are transformed into a system of nonlinear ordinary differential equations. The homotopy analysis method is used to solve the resulting coupled nonlinear equations under appropriate transformed boundary conditions. A parametric study of the physical parameters is made and results are presented through graphs and tables. The results indicate that the thermal boundary layer is thicker for the flow problems having a heat source when compared with that of the problems without a heat source. It is also found that thickness of the disk is having a high impact on fluid velocity, temperature, and concentration. K E Y W O R D S HAM, heat source/sink, MHD, porous medium, rotating disk with variable thickness, Soret-Dufour effects | INTRODUCTIONFluid flow with heat and mass transfer due to rotating disk is a classic problem, which has applications in many technological processes including rotating machinery, computer disk drives, oceanography, lubrication, and crystal growth processes, etc. 1 Von-Karman 2 was the first who identified this problem and solved it by introducing his famous transformations along with the appropriate integral method. Later, Cochran 3 pointed out errors in von-Karman's momentum integral solutions and gave more accurate results. Later on, researchers investigated various physical problems. [4][5][6][7][8][9][10][11][12][13][14][15][16][17] When heat and mass transfer occur at the same time in a moving fluid, a heat flux can also be generated by concentration gradients and this heat flux is known as Dufour effect, whereas mass flux caused by temperature gradient is known as Soret effect. Sravanthi 18 studied magnetohydrodynamic (MHD) slip flow past an exponentially stretching sheet with Soret-Dufour effects. Entropy generation on MHD flow of Powell-Eyring fluid between radially stretching rotating disk with diffusion-thermo and thermodiffusion effects was investigated by Khan et al. 19 Devi et al 20 illustrated the Soret and Dufour effects on MHD slip flow with thermal radiation over a porous rotating infinite disk. Shah et al 21 explored the Dufour and Soret effect on heat and mass transfer with radiative heat flux in a viscous liquid over a rotating disk.Heat source/sink is effective when there is a high temperature difference between the ambient fluid and surface. These effects also help to control the heat transfer. Hayat et al 22 studied the significant consequences of heat generation/absorption in a second-grade fluid due to a rotating disk. Sravanthi and Gorla 23 investigated the effects of heat source/sink on MHD Maxwell nanofluid flow exponentially stretching sheet. Sravanthi 24 illustrated slip flow of nanofluid over a stretching cylinder in the presence of nonlinear...

show abstract

\frac{\partial u}{\partial r} + \frac{υ}{r} + \frac{\partial w}{\partial z} = 0,

u \frac{\partial u}{\partial r} + w \frac{\partial u}{\partial z} - \frac{v^{2}}{r} = υ \frac{\partial^{2} u}{\partial z^{2}} - \frac{σ {B_{0}}^{2} u}{ρ} - \frac{v υ}{K},

u \frac{\partial v}{\partial r} + w \frac{\partial v}{\partial z} + \frac{italicuv}{r} = υ \frac{\partial^{2} v}{\partial z^{2}} - \frac{σ {B_{0}}^{2} u}{ρ},

ρ c_{p} true(u \frac{\partial T}{\partial r} + w \frac{\partial T}{\partial z} true) = k \frac{\partial^{2} T}{\partial z^{2}} + \frac{D_{m} K_{T}}{c_{s}} \frac{\partial^{2} C}{\partial z^{2}} + Q_{0} (T - T_{normal∞}),

u \frac{\partial C}{\partial r} + w \frac{\partial C}{\partial z} = D_{m} \frac{\partial^{2} C}{\partial z^{2}} + \frac{D_{m} K_{T}}{T_{m}} \frac{\partial^{2} T}{\partial z^{2}} <...>

…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of heat source/sink on MHD flow due to porous rotating disk with variable thickness in the presence of cross diffusion

Sravanthi

2019

Heat Trans. Asian Res.

View full text Add to dashboard Cite

show abstract

“…Ibrahim 20 investigated the impact of convective warming on an MHD stagnation point stream and heat transfer of an upper‐convected Maxell liquid past an extending sheet in the presence of nanoparticles with the impacts of Brownian movement and thermophoresis parameters. Recent investigations on MHD Maxwell nanofluid flow using different geometries may be found in References 21‐27 …”

Section: Introductionmentioning

confidence: 99%

Mixed convection flow of a Maxwell nanofluid with Hall and ion‐slip impacts employing the spectral relaxation method

Ibrahim

Anbessa

2020

Heat Trans

View full text Add to dashboard Cite

This article investigates the Hall and ion‐slip impacts on the mixed convection flow of a Maxwell nanofluid over an expanding surface in a permeable medium. The impacts of Brownian movement and thermophoresis parameters, Soret, Dufour, viscous dissipation, chemical reaction, and suction parameters, are, moreover, considered. Using the similitude changes, the partial differential equations with regard to the momentum, energy, and concentration equations are transformed to an arrangement of nonlinear ordinary differential equations, which are handled numerically utilizing a spectral relaxation method (SRM). The impacts of noteworthy physical parameters on the velocities, thermal, and concentration distributions are investigated graphically. Moreover, the numerical values of skin‐friction coefficients, local Nusselt number, and Sherwood number for different values of the mixed convection parameter ( γ ) , Deborah number ( λ ) , Hall parameter false( β H false) , ion‐slip parameter false( β i false) , Dufour number (Du), and Soret number ( Sr ) are computed and tabulated. It is discovered that ascent in Deborah number reduces both the stream and transverse velocity profiles, while the inverse pattern is seen with augmentation in the mixed convection parameter. In addition, inverse patterns of the stream and transverse velocity profiles are seen with expansion in magnetic, Hall, and ion‐slip parameters. Besides this, the temperature and concentration disseminations decline with augmentation in Dufour number and chemical reaction parameters, respectively. It is likewise seen that both the skin‐friction coefficients lessen with expansion in Deborah number, and they ascend with upgrade in blended convection and ion‐slip parameters, while the opposite condition is noticed with augmentation in Hall parameter. Furthermore, the reverse trends of local Nusselt and Sherwood numbers are discovered with expansion in the Dufour and Soret numbers.

show abstract

“…Acharya et al studied numerical analysis for MHD boundary flow over an inclined stretching sheet filled with Maxwell nanofluid under the convective boundary conditions. Sravanthi and Gorla investigated Maxwell nanofluid boundary layer flow, heat and mass transfer characteristics over stretching sheet saturated by porous media in the presence of convective boundary conditions, suction/injection and chemical reaction. Zhang et al analyzed the sway of various pertinent parameters on unsteady 2D MHD flow of Maxwell fluid over a rectangular pipe induced by the variable pressure gradient.…”

Section: Introductionmentioning

confidence: 99%

Effect of SWCNTs and MWCNTs Maxwell MHD nanofluid flow between two stretchable rotating disks under convective boundary conditions

Sreedevi¹,

Reddy²

2019

Heat Trans. Asian Res.

View full text Add to dashboard Cite

The aim of the current analysis is to investigate heat and mass transfer characteristics of single and multi-walled water-based carbon nanotubes Maxwell nanofluid flow between continuously rotating stretchable disks under the sway of chemical reaction and radiation. Boundary conditions of the convective type of temperature are employed at both lower and upper rotating disks in the preparation. Similarity variables are employed to transform the governing partial differential equations into the nonlinear ordinary differential equations. The computational finite element method is applied to solve this nonlinear system of equations along with boundary conditions. The sway of different admissible parameters on the profiles of concentration, temperature, and velocity are inspected and revealed through graphs. Furthermore, the numerical solutions for rates of temperature, concentration, and rates of velocity are depicted in tabular form. It is revealed that temperature sketches deteriorate with augmented values of Deborah number at both upper and lower disks of single-walled carbon nanotubes and multi-walled carbon nanotubes with water-based Maxwell nanofluids. K E Y W O R D S carbon nanotubes, chemical reaction, convective boundary conditions, finite element method, Maxwell nanofluids, thermal radiation

show abstract

Effects of Heat Source/Sink and Chemical Reaction on MHD Maxwell Nanofluid Flow Over a Convectively Heated Exponentially Stretching Sheet Using Homotopy Analysis Method

Cited by 43 publications

References 33 publications

Effect of heat source/sink on MHD flow due to porous rotating disk with variable thickness in the presence of cross diffusion

Effect of heat source/sink on MHD flow due to porous rotating disk with variable thickness in the presence of cross diffusion

Mixed convection flow of a Maxwell nanofluid with Hall and ion‐slip impacts employing the spectral relaxation method

Effect of SWCNTs and MWCNTs Maxwell MHD nanofluid flow between two stretchable rotating disks under convective boundary conditions

Contact Info

Product

Resources

About