Dual stratification effects on double-diffusive convective heat and mass transfer of a sheet-driven micropolar fluid flow

Sarojamma, G.; Lakshmi, R.; Sreelakshmi, K.; Vajravelu, K.

doi:10.1016/j.jksus.2018.05.027

Cited by 22 publications

(16 citation statements)

References 42 publications

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“…Table 1 elucidates the comparison of few values

with Srinivasacharya and Upendar [ 28 ] when

and

. Unlike the other works on boundary layer of micropolar fluid flow (see [ 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 30 , 31 , 32 ]), Srinivasacharya and Upendar [ 28 ] used a model with coupling number to represent the micropolar fluid. However, using the limiting values of the physical parameters, we manage to compare the present results with those by Srinivasacharya and Upendar [ 28 ] as presented in Table 1 .…”

Section: Results and Discussionmentioning

confidence: 99%

“…The characteristics of surface velocity gradient

and temperature gradient

as K increases for each value of S are in accordance with those by Yacob and Ishak [ 11 ]. As the material/micropolar parameter enhances, the fluid viscosity weakens and subsequently, lessens the surface velocity gradient

[ 32 ]. However, the results in Figure 2 , Figure 3 and Figure 4 are only applicable for the flow due to the shrinking sheet.…”

Section: Results and Discussionmentioning

confidence: 99%

“…An applied magnetic field with constant strength is perpendicular to the flow direction, whereas the magnetic Reynolds number is sufficiently small and, consequently, the induced magnetic field is ignored. Under the boundary layer approximations and all the physical model assumptions, the simplified PDEs are (see Rashad et al [ 30 ], Sarojamma et al [ 32 ]):

where u and v are the velocities along x - and y -directions, respectively; T is the fluid temperature; C is the fluid concentration; and g is the gravitational acceleration. Further,

and

are the coefficient of thermal and solutal expansions,

and

are the fluid dynamic and kinematic viscosities, and

and D are the thermal and molecular diffusivities, respectively.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The analysis showed that both fluid velocity and temperature decreased with an upsurge of thermal stratification parameter. The influence of nonlinear thermal radiation, second-order slip and magnetic field on the dual stratified micropolar fluid flow past a vertical stretching sheet was investigated by Sarojamma et al [ 32 ]. They revealed that there was an undershoot in the fluid temperature (negative temperature) due to a strong magnitude of thermal stratification parameter.…”

Section: Introductionmentioning

confidence: 99%

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Mixed Convective Flow and Heat Transfer of a Dual Stratified Micropolar Fluid Induced by a Permeable Stretching/Shrinking Sheet

Khashi’ie

Arifin

Nazar

et al. 2019

Entropy

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The present study accentuates the magnetohydrodynamics (MHD) flow and heat transfer characteristics of a dual stratified micropolar fluid over a permeable stretching/shrinking sheet. Thermal and solutal buoyancy forces are also included to incorporate with the stratification effect. Similarity, transformation is applied to reduce the governing model (partial differential equations) into a set of nonlinear ordinary differential equations (ODEs) due to its complexity. Using bvp4c solver in the MATLAB software, numerical results for some limiting cases are in favorable agreement with the earlier published results. Both assisting and opposing buoyancy flows have dual similarity solutions within specific range of suction and stretching/shrinking parameters, whereas only a distinctive solution is observed for pure forced convective flow. The micropolar fluid shows a disparate pattern of flow, heat and mass transfer characteristics between stretching and shrinking cases. Unlike the shrinking flow, the surface velocity gradient, local Nusselt and Sherwood numbers for stretching flow intensify with the increment of the material parameter. The result from stability analysis reveals that the first solution is the real solution, whereas the second solution is virtual.

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“…Table 1 elucidates the comparison of few values

with Srinivasacharya and Upendar [ 28 ] when

and

Section: Results and Discussionmentioning

confidence: 99%

“…The characteristics of surface velocity gradient

and temperature gradient

[ 32 ]. However, the results in Figure 2 , Figure 3 and Figure 4 are only applicable for the flow due to the shrinking sheet.…”

Section: Results and Discussionmentioning

confidence: 99%

where u and v are the velocities along x - and y -directions, respectively; T is the fluid temperature; C is the fluid concentration; and g is the gravitational acceleration. Further,

and

are the coefficient of thermal and solutal expansions,

and

are the fluid dynamic and kinematic viscosities, and

and D are the thermal and molecular diffusivities, respectively.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mixed Convective Flow and Heat Transfer of a Dual Stratified Micropolar Fluid Induced by a Permeable Stretching/Shrinking Sheet

Khashi’ie

Arifin

Nazar

et al. 2019

Entropy

View full text Add to dashboard Cite

show abstract

“…Narayana et al [5] discussed the viscous dissipation effects on Jeffrey fluid flow caused due to a stretchable sheet. More recently, many authors have studied the diverse non-Newtonian fluid flow models with various heat transfer effects [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

MHD Flow and Heat Transfer of a Jeffrey Fluid over a Porous Stretching/Shrinking Sheet with a Convective Boundary Condition

Babu¹,

Tarakaramu²,

Narayana³

et al. 2021

IJHT

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This work explores the heat transfer flow characteristics of an incompressible non-Newtonian Jeffrey fluid over a stretching/shrinking surface with thermal radiation and heat source. The sheet is linearly stretched in the presence of a transverse magnetic field with convective boundary conditions. Appropriate similarity variables are used to transform the basic governing equations (PDEs) into ODEs. The resulting equations are solved by utilizing MATLAB bvp4c. The impact of distinctive physical parameters and dimensionless numbers on the flow field and heat transfer is analysed graphically. It is noticed that the measure of heat raised with increasing the Biot number and opposite effect with the rise of the suction parameter.

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Coupled effect of multislips and activation energy in a micropolar nanoliquid on a convectively heated elongated surface

et al. 2021

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This research communication explores the impact of wall slips along with the suspension of nanomaterials in a chemically reactive micropolar liquid stream on a stretched surface with convective heating. Activation of energy is analyzed through the modified Arrhenius function. Radiative heat flux with nonlinearity and temperature‐dependent thermal source (sink) are considered in the heat transmission process. The Cattaneo–Christov approach featuring the time of thermal relaxation is employed. Successive application of scaling analysis followed by the Runge–Kutta–Fehlberg numerical approach delivered computational solutions for the partial differential equations delineating the problem under study. The response of flow variables for different values of various emerged physical variables is elaborated in detail via graphical and numerical presentations. Comparison of the outcome of the current analysis for certain cases is in accordance with the outcomes available in the literature. The findings reveal that pairs of velocity, microrotation, temperature, and species concentration oppositely reacted to both parameters of slip. The temperature of the nanofluid is improved by 18.5%, for specified values of radiation and temperature ratio parameters over that of the pure base liquid. Activation energy augments concentration. The drag coefficient declines with growing thermal and solutal Grashof numbers. Sherwood number is enhanced for higher values of the temperature difference and chemical reaction parameters.

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Dual stratification effects on double-diffusive convective heat and mass transfer of a sheet-driven micropolar fluid flow

Cited by 22 publications

References 42 publications

Mixed Convective Flow and Heat Transfer of a Dual Stratified Micropolar Fluid Induced by a Permeable Stretching/Shrinking Sheet

Mixed Convective Flow and Heat Transfer of a Dual Stratified Micropolar Fluid Induced by a Permeable Stretching/Shrinking Sheet

MHD Flow and Heat Transfer of a Jeffrey Fluid over a Porous Stretching/Shrinking Sheet with a Convective Boundary Condition

Coupled effect of multislips and activation energy in a micropolar nanoliquid on a convectively heated elongated surface

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