Micropolar fact, the deformation of fluids is neglected

Micropolar fluids are a model of standard ordinary fluid with microstructure and nonsymmetric stress tensor.in fact, the deformation of fluids is neglected and include rigid and related to spherical particles in a cohesive medium. Eringen was the first to introduce the microplastic fluid model. This model is an important simplified model of Navier Stokes equations in two areas of application and theory, which offers a lot of scientific phenomena than ordinary states.

 

The field of micropolar fluid is a very important field that has many uses, including laboratory on chip, oil extraction, refining industry, heat transfer issues, paper industry, lubrication, surface coating, material science, bio sciences, and so on. Considering these important applications, the world’s most acclaimed universities, including MIT, Cornell, and others, have set up an independent laboratory of the same name. Even in some countries, such as Germany, an independent institute of the same name has been created.

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Salleh et al 3 carried out the mathematical theory for a micropolar fluid flow boundary layer because of moving flat sheet. The results of this study show that in the range 0 ? n ? 1 by the increment of n the gyration factor increase and the wall shear stress decrease.where k is constant and n is ratio of the wall shear stress fluid flow.

 

Rahman et al 4 examined the several parameters of micropolar fluid flow including heat transfer rate and magnetohydrodynamic convective flow on the moving vertical porous sheet. The results of this study indicate that by the icrement of coupling factor K, Richardson factor ?, prandtl number Pr and suction factor Fw the heat transfer rate will increase steadily.

 

Rahman and Sultana 5 studied the micropolar fluid flow radiative heat transfer rate with variable heat flux passing porous flat sheet. The results showed that Darcy factor increases the temprature and angular velocity whereas cause to decrease the velocity.

 

Rahman et al 6 investigated the factors of micropolar fluid flow including the non-uniform sink and electric conductivity passing an inclined flat sheet with surface heat flux. The results of this review indicate that the effect of Newtonian fluid is greater than non-uniform heat production and electric conductivity in a micropolar fluid flow.

 

Alomari et al 7 demonstrated the micropolar fluid flow heat transfer rate and uniform boundary layer flow on an isothermal moving sheet surface. The results obtained from the research indicate that the HAM method has a very high accuracy and is also very useful for solving nonlinear equations.

 

Kazem and Shaban 8 described the THAM method for solving nonlinear systems in semi-infinite domain for micropolar fluid flow passing stretching of porous plate. The results obtained show that in THAM method inverse the HAM method the rule of sulotion explanation and the rule of ergoticity are out of work.

Ahmad et al 9 investigated the heat transfer rate passing the nonlinearly stretching sheet by considering viscous loss for micropolar fluid. The results show that by the increment of K and stay fix n, the local Nusselt number and skin friction coefficient will decrease.plus, they will increase with the nonlinear stretching parameter n.

 

Mirgolbabaee et al 10 studMicropolar fluids are a model of standard ordinary fluid with microstructure and nonsymmetric stress tensor.in fact, the deformation of fluids is neglected and include rigid and related to spherical particles in a cohesive medium. Eringen was the first to introduce the microplastic fluid model. This model is an important simplified model of Navier Stokes equations in two areas of application and theory, which offers a lot of scientific phenomena than ordinary states.

 

The field of micropolar fluid is a very important field that has many uses, including laboratory on chip, oil extraction, refining industry, heat transfer issues, paper industry, lubrication, surface coating, material science, bio sciences, and so on. Considering these important applications, the world’s most acclaimed universities, including MIT, Cornell, and others, have set up an independent laboratory of the same name. Even in some countries, such as Germany, an independent institute of the same name has been created.

 

Salleh et al 3 carried out the mathematical theory for a micropolar fluid flow boundary layer because of moving flat sheet. The results of this study show that in the range 0 ? n ? 1 by the increment of n the gyration factor increase and the wall shear stress decrease.where k is constant and n is ratio of the wall shear stress fluid flow.

 

Rahman et al 4 examined the several parameters of micropolar fluid flow including heat transfer rate and magnetohydrodynamic convective flow on the moving vertical porous sheet. The results of this study indicate that by the icrement of coupling factor K, Richardson factor ?, prandtl number Pr and suction factor Fw the heat transfer rate will increase steadily.

 

Rahman and Sultana 5 studied the micropolar fluid flow radiative heat transfer rate with variable heat flux passing porous flat sheet. The results showed that Darcy factor increases the temprature and angular velocity whereas cause to decrease the velocity.

 

Rahman et al 6 investigated the factors of micropolar fluid flow including the non-uniform sink and electric conductivity passing an inclined flat sheet with surface heat flux. The results of this review indicate that the effect of Newtonian fluid is greater than non-uniform heat production and electric conductivity in a micropolar fluid flow.

 

Alomari et al 7 demonstrated the micropolar fluid flow heat transfer rate and uniform boundary layer flow on an isothermal moving sheet surface. The results obtained from the research indicate that the HAM method has a very high accuracy and is also very useful for solving nonlinear equations.

 

Kazem and Shaban 8 described the THAM method for solving nonlinear systems in semi-infinite domain for micropolar fluid flow passing stretching of porous plate. The results obtained show that in THAM method inverse the HAM method the rule of sulotion explanation and the rule of ergoticity are out of work.

Ahmad et al 9 investigated the heat transfer rate passing the nonlinearly stretching sheet by considering viscous loss for micropolar fluid. The results show that by the increment of K and stay fix n, the local Nusselt number and skin friction coefficient will decrease.plus, they will increase with the nonlinear stretching parameter n.

 

Mirgolbabaee et al 10 studied the heat transfer rate of micropolar fluid using AGM method in a permeable channel. The results obtained represent the fact that peclet number has inverse proportion with Sherwood number and Nusselt number, although, Reynolds number has straight proportion with them.ied the heat transfer rate of micropolar fluid using AGM method in a permeable channel. The results obtained represent the fact that peclet number has inverse proportion with Sherwood number and Nusselt number, although, Reynolds number has straight proportion with them.

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