Chemical Reaction Effect on MHD Flow of Casson Fluid with Porous Stretching Sheet

Krishna, Y. Hari; Gurrampati, Venkata Ramana Reddy; Makinde, Oluwole Daniel

doi:10.4028/www.scientific.net/ddf.389.100

Cited by 26 publications

(20 citation statements)

References 28 publications

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“…In the nonappearance of a thermal diffusion equation, the equations of this problem are exactly matched with the equations of a previously published paper 2 . We have compared our numerical values of the steady solution for mass accumulation rate (Sherwood number) with the results of, 2 which show an excellent agreement (see Table 1).…”

Section: Resultsmentioning

confidence: 77%

“…It is supposed that the flow properties of this problem are constant and u x cx ( ) = w the extending velocity of the sheet, where the constant, c > 0 signifies the stretch at the surface. Following [2], the constitutive equation of this fluid model is stated as follows:…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…It is supposed that the flow properties of this problem are constant and

u_{w} false(x false) = c x

the extending velocity of the sheet, where the constant,

c > 0

signifies the stretch at the surface. Following [2], the constitutive equation of this fluid model is stated as follows:

τ_{i j} = ({, false \begin{array}{l} 2 (μ_{β} + \frac{P_{y}}{\sqrt{2 π}}) e_{i j}, & π > π_{c}, \\ 2 (μ_{β} + \frac{P_{y}}{\sqrt{2 π_{c}}}) e_{i j}, & π < π_{c}, \end{array})

where,

π = e_{i j} e_{i j}

is the

false(i, j false) t h

components of the collapsible rate.…”

Section: Mathematical Formulationmentioning

confidence: 99%

See 2 more Smart Citations

Stability analysis on dual solutions of MHD Casson fluid flow with thermal and chemical reaction over a permeable elongating sheet

2022

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The endeavor of this study is to explore the nature of dual solutions (steady and unsteady) for the Casson fluid flow with the simultaneous consequences of both thermal and mass transmissions. The flow passes above an absorbent elongating sheet in the existence of a constant magnetic field. The supported leading equations are remodeled into a set of solvable forms with the assist of suitable similarity variables and hence deciphered utilizing the “MATLAB routine bvp4c scheme.” Due to the sudden changes in the surface with time, the temperature and flow behavior over the sheet also change, and hence dual‐type flow solutions exist. Stability scrutiny is implemented to examine the less (more) stable and visually achievable solutions. From this study, we have achieved many interesting facts, among them, we can use magnetic and Casson fluid parameters to control the motion of the fluid and to enlarge of thermal transmission of the fluid. This flow model has many important applications in different physical fields, such as engineering sciences, medical sciences, and different industrial processes. One of the most important results, which has been achieved from this investigation, is that the Prandtl number enriches the heat transfer rate of the fluid at the surface during the time‐independent case under the suction environment. Also, the chemical reaction parameter helps to enhance the mass accumulation rate of the fluid in both cases.

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Section: Resultsmentioning

confidence: 77%

Section: Mathematical Formulationmentioning

confidence: 99%

“…It is supposed that the flow properties of this problem are constant and

u_{w} false(x false) = c x

the extending velocity of the sheet, where the constant,

c > 0

signifies the stretch at the surface. Following [2], the constitutive equation of this fluid model is stated as follows:

τ_{i j} = ({, false \begin{array}{l} 2 (μ_{β} + \frac{P_{y}}{\sqrt{2 π}}) e_{i j}, & π > π_{c}, \\ 2 (μ_{β} + \frac{P_{y}}{\sqrt{2 π_{c}}}) e_{i j}, & π < π_{c}, \end{array})

where,

π = e_{i j} e_{i j}

is the

false(i, j false) t h

components of the collapsible rate.…”

Section: Mathematical Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Stability analysis on dual solutions of MHD Casson fluid flow with thermal and chemical reaction over a permeable elongating sheet

2022

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“…[10][11], researchers developed MHD natural convection flow past an impulsively started infinite vertical porous plate with Newtonian heating in the presence of radiation and effects of thermal radiation and mass diffusion on free convection flow near a vertical plate with Newtonian heating. The researchers [12][13][14][15][16][17][18][19] discovered the effect of MHD over a various geometries (vertical channel, vertical cylinder, stretching sheet).…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of MHD Casson Liquid Stream over an Infinite Vertical Porous Plate with Newtonian Heating

Devi¹

2020

IJST

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Objectives: Magnetohydrodynamics (MHD) stream of Casson liquid over a limitless vertical porous plate with Newtonian heating is considered. Casson liquid is non-Newtonian liquid. Methods/ statistical analysis: The governing nonlinear equations are comprehended utilizing shooting system. Findings: The impacts of relevant governing parameters on the liquid velocity and the temperature are exhibited graphically. The coefficient of skin friction and the rate of heat transfer are determined numerically. The present outcomes have been good simultaneousness with existing outcomes under some unique cases. Applications: Porous plates are additionally used in the design of heat exchangers, computer assemblies, polymer industry, and automotive industry.

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“…They utilized shooting technique along with Runge-Kutta method to achieve the numerical solution. Hari Krishna et al [9] presented impacts of chemical reaction on Casson fluid flow with permeable stretching sheet. Makinde et al [10] examined Cattaneo-Christov heat flux on Casson nanofluid flow past a stretching cylinder.…”

Section: Introductionmentioning

confidence: 99%

Study of magneto-hydrodynamics (MHD) impacts on an axisymmetric Casson nanofluid flow and heat transfer over unsteady radially stretching sheet

Faraz

Haider²,

Imran

2019

SN Appl. Sci.

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The current study is presented to probe the impacts of thermal radiation and mixed convection of axisymmetric Casson fluid flow in the presence of magnetic field along with nano-particles. The flow is provoked because of unsteady radially stretching sheet. The solution of transformed ordinary differential equations is attained by utilizing Keller-box finite difference method (IFDM). The influence of different parameters on flow features is sketched through various graphs and results are tabulated and argued briefly. The convection conditions on the wall temperature and concentration are also exerted in the study. Finally, a comparison is established with existing literature to support our results and a good agreement is found which corroborates our work. A decline in both velocity and temperature is witnessed with the rise in Casson parameter. It is also observed that with the rise Brownian motion and Thermophoresis parameters, the temperature of the fluid rises but concentration profile decreases in start and then start increasing. The fluid concentration in its boundary layer decreases with the increase of heavier species, the parameter of the reaction rate and the exponent of power law for fluid having Prandtl number = 10.0, 15.0, and 20.0. Moreover, the fluid velocity depreciates with the rise in unsteadiness parameter while a significant decrease in temperature is noted. The outcomes of study are quite useful in fabrication of magnetic nano-materials and high temperature treatment of magnetic nano-polymers.

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Chemical Reaction Effect on MHD Flow of Casson Fluid with Porous Stretching Sheet

Cited by 26 publications

References 28 publications

Stability analysis on dual solutions of MHD Casson fluid flow with thermal and chemical reaction over a permeable elongating sheet

Stability analysis on dual solutions of MHD Casson fluid flow with thermal and chemical reaction over a permeable elongating sheet

Numerical Study of MHD Casson Liquid Stream over an Infinite Vertical Porous Plate with Newtonian Heating

Study of magneto-hydrodynamics (MHD) impacts on an axisymmetric Casson nanofluid flow and heat transfer over unsteady radially stretching sheet

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