Slip analysis of squeezing flow using doubly stratified fluid

Ahmad, Shakeel; Farooq, M.; Javed, M.; Anjum, Aisha

doi:10.1016/j.rinp.2018.02.066

Cited by 27 publications

(14 citation statements)

References 25 publications

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“…Hayat et al 6 studied the squeezed flow past a Riga plate. This experiment with doubly stratified fluid was studied by Ahmad et al 7 Hayat et al 8 and Ahmad et al 9 considered the Darcy effect and thermal radiation effects on the squeezing flow. The heat and mass transfer study is of great interest due to its broad applications in science and engineering such as fluid dynamic devices, polymer manufacturing, lubrication method, chemical manufacturing machinery, fog forming and dissipation, crop loss due to melting, food preparation and refining.…”

Section: Introductionmentioning

confidence: 99%

A Levenberg-Marquardt backpropagation method for unsteady squeezing flow of heat and mass transfer behaviour between parallel plates

Khan

Ullah

Fiza

et al. 2021

Advances in Mechanical Engineering

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In this study, a new computing model by developing the strength of feed-forward neural networks with Levenberg-Marquardt Method (NN-BLMM) based backpropagation is used to find the solution of nonlinear system obtained from the governing equations of unsteady squeezing flow of Heat and Mass transfer behaviour between parallel plates. The governing partial differential equations (PDEs) for unsteady squeezing flow of Heat and Mass transfer of viscous fluid are converting into ordinary differential equations (ODEs) with the help of a similarity transformation. A dataset for the proposed NN-BLMM is generated for different scenarios of the proposed model by variation of various embedding parameters squeeze Sq, Prandtl number Pr, Eckert number Ec, Schmidt number Sc and chemical-reaction-parameter [Formula: see text]. Physical interpretation to various embedding parameters is assigned through graphs for squeeze Sq, Prandtl Pr, Eckert Ec, Schmidt Sc and chemical-reaction-parameter [Formula: see text]. The processing of NN-BLMM training (T.R), Testing (T.S) and validation (V.L) is employed for various scenarios to compare the solutions with the reference results. For the fluidic system convergence analysis based on mean square error (MSE), error histogram (E.H) and regression (R.G) plots is considered for the proposed computing infrastructures performance in term of NN-BLMM. The results based on proposed and reference results match in term of convergence up to 10-02 to 10-08 proves the validity of NN-BLMS. The Optimal Homotopy Asymptotic Method (OHAM) is also used for comparison and to validate the results of NN-BLMM.

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Section: Introductionmentioning

confidence: 99%

A Levenberg-Marquardt backpropagation method for unsteady squeezing flow of heat and mass transfer behaviour between parallel plates

Khan

Ullah

Fiza

et al. 2021

Advances in Mechanical Engineering

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“…Now, following Ahmad et al., 34 we can use the following similarity transformations 27,28 then, we are substituting equation (13) into dimensional governing equations (1) to (5) restricted with equations (10) to (12), and finally we obtain these dimensionless nonlinear ODEs subject to the boundary conditions 27,28 where governing parameters such as Prandtl number (Pr), suction parameter (A), squeezing parameter (S), Eckert number (Ec), local Eckert number (Ecx), and rotation parameter (Ω) are defined as 28 …”

Section: Mathematical Formulationmentioning

confidence: 92%

“…Table 1 depicts thermophysical properties of water at 25 C and both nanoparticles. [29][30][31][32] The constant temperature of lower stretchable permeable sheet is T b , while the constant temperature of the upper moving sheet is T t : Under above considerations and using Tiwari-Das nanofluid's model, 33 the nonlinear governing PDEs can be written as below 27,28,34 Table 1. Thermophysical properties of base fluid and nanoparticles.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The constant temperature of lower stretchable permeable sheet is Tb, while the constant temperature of the upper moving sheet is Tt. Under above considerations and using Tiwari–Das nanofluid's model, 33 the nonlinear governing PDEs can be written as below 27,28,34 subject to the boundary conditions 27,28,34 in which ω0 is the same constant angular velocity, V0 is initial suction velocity of the lower sheet at t=0, T and P are the temperature and the pressure fields, respectively; and ρhnf, μhnf, and khnf are density, viscosity, and thermal conductivity of the hybrid nanofluid, which are respectively presented in Table 2, in which, …”

Section: Mathematical Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Three-dimensional squeezed flow of aqueous magnetite–graphene oxide hybrid nanofluid: A novel hybridity model with analysis of shape factor effects

Dinarvand

Rostami

2020

Proceedings of the Institution of Mechanical Engineers, Part E:

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In the present article, we intend to study quasi-analytically the unsteady three-dimensional squeezed flow of the magnetite–graphene oxide/water hybrid nanofluid inside a rotating channel with two horizontal and parallel sheets, in which the lower sheet is stationary, stretchable, and permeable, while the upper sheet is moving and impermeable. Our methodology is based on the single-phase Tiwari–Das hybrid nanofluid model considering nanoparticles and base fluid masses instead volume concentration of first and second nanoparticles. The dimensional partial differential equations are altered to a set of nondimensional ordinary differential equations with the help of similarity transformation method, which is then solved numerically using the bvp4c function from MATLAB. The governing similarity parameters are the empirical shape factor of nanoparticles, the suction parameter, the squeezing parameter, the rotation parameter, the Eckert number, and the Prandtl number. Results indicate that when the upper sheet faster moves toward the lower sheet, the profiles trend is opposite in comparison with when the upper sheet faster moves away from the lower one. On the one hand, the drastic thermal conductivity of the graphene oxide is a major reason to achieve maximum heat transfer rate enhancement of our working fluid. Finally, this study may be applicable in biomechanics, flow through arteries, food processing, polymer processing, lubrication, injection modeling, etc.

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“…Characteristics of mass and heat are explored via double stratification and chemical reaction. Homotopic technique [16][17][18][19][20] is implemented to solve the obtained non-linear coupled ordinary differential equations. Effects of different physical parameters of interest are discussed in detail through graphs.…”

Section: Introductionmentioning

confidence: 99%

Description of stratification phenomena in the fluid reservoirs with first-order chemical reaction

Jabeen

Farooq

Mir

2019

Advances in Mechanical Engineering

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In real life applications, summer and winter stratifications prevent the fluid from mixing. This phenomenon has great impact on the phytoplankton (algae) populations, fisheries management and water supply quality, deficiency of dissolved oxygen in the lower region of ponds, lakes and rivers. Thus, our main moto in this article is to highlight the features of mixed convection in Powell-Eyring fluid deformed by an inclined stretchable sheet. Characteristics of heat transfer are exposed via thermal stratification. The solutal stratification and chemical reaction of first order are accounted to elaborate the nature of mass transfer. The coupled non-linear equations with ordinary derivatives are acquired after utilizing suitable transformation. The homotopic approach is adopted to accomplish the convergent series solution. Analysis of various emerging parameters on the fluid's temperature, velocity and concentration fields is elaborated through graphs. Surface drag, Sherwood and Nusselt numbers are studied through graphical data corresponding to numerous parameters. In conclusion, dominant solutal and thermal stratified parameters are responsible for reduction of concentration and temperature fields, respectively, which enables us to prevent the formation of fluid layers with different density regions.

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Slip analysis of squeezing flow using doubly stratified fluid

Cited by 27 publications

References 25 publications

A Levenberg-Marquardt backpropagation method for unsteady squeezing flow of heat and mass transfer behaviour between parallel plates

A Levenberg-Marquardt backpropagation method for unsteady squeezing flow of heat and mass transfer behaviour between parallel plates

Three-dimensional squeezed flow of aqueous magnetite–graphene oxide hybrid nanofluid: A novel hybridity model with analysis of shape factor effects

Description of stratification phenomena in the fluid reservoirs with first-order chemical reaction

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