Exact Solution for PTT Fluid on a Vertical Moving Belt for Lift with Slip Condition

Shah, Syed Mansoor; Memon, K. N.; Shah, Syed Feroz; Sheikh, A. H.; Ghoto, Abbas Ali; Siddiqui, A. M.

doi:10.17485/ijst/2019/v12i30/146040

Cited by 11 publications

(16 citation statements)

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“…Tank drainage is the emptying of a fluid-filled container or tank, and knowing the flow behavior during this operation is critical in a variety of technical and industrial applications, including petroleum, chemical processing, and food production. In this model flow of the fluid is due to gravity through a pipe so that no-slip condition is used, where fluid have zero velocity relative boundary of the fluid and center line is used so because fluid have maximum velocity at the center of pipe [6,28]. The no-slip condition is a fundamental notion in fluid mechanics that describes how fluid molecules interact with a solid boundary.…”

Section: Introductionmentioning

confidence: 99%

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Series Solution of Unsteady Tank Drainage for Third Order Fluid using Adomian Decomposition Method

Shehzad Ali Malik,

Syed Feroz Shah,

Kamran Nazir Memon

et al. 2024

VFAST trans. math.

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In this research study the tank model of isothermal and unsteady drainage is considered. Geometry of the tank is in cylindrical and at the bottom a pipe for flow of the fluid is attached. Sub class of viscoelatic non-newtonian fluid is considered. It is planed to obtain the series solution of the model with Adomian Decompositon in the light of no slip conditon. It is also decided to compare the velocity profile of adomain decompositon with the perturbation method for this fluid. On the basis of the results and comparison efficiency of both methods will be disscussed.

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Section: Introductionmentioning

confidence: 99%

“…Comparative study of slip and no slip is discussed in [14]. Delta perturbation method is studied for third order fluid in Coette flow in [27]. It is noted the this phenomena yields us the partial differential equations which can be solved by the different methods.…”

Section: Introductionmentioning

confidence: 99%

Series Solution of Unsteady Tank Drainage for Third Order Fluid using Adomian Decomposition Method

Shehzad Ali Malik,

Syed Feroz Shah,

Kamran Nazir Memon

et al. 2024

VFAST trans. math.

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“…The demand from many sectors, including the Petroleum, Chemical, Iron, and Bio Rheological fields where molten metal is taken into consideration has led to a notable increase in interest in non-Newtonian fluids in particular [17,20]. One particular subclass of non-Newtonian fluids known as Bingham plastic fluids is distinguished by its yield stress-producing behavior.…”

Section: Introductionmentioning

confidence: 99%

Exact Solution of Tank Drainage for Bingham Fluid flow circular tube

Ghulam Murtaza Oghai,

Memon,

Syed Feroz Shah

et al. 2024

VFAST trans. math.

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Unsteady tank drainage of Bingham Plastic fluid whose flow of the fluid is due to gravity, is considered in this study. The separation of variables method is used to obtain the exact solution of the fluid. Due to very high yield stress of the fluid no slip condition is used to find out the velocity profile of the fluid. The primary objective of this work is to find the velocity profile, flow rate, shear stress, average velocity, time efflux, the relationship between the time (varying with the depth of a tank) and the time required for complete drainage from emerging partial differential equation. It has been observed that when the Bingham model parameters, flow region and pipe length increase, the time required to drain the fluid from the tank also increases. Furthermore, findings indicate that higher density and a larger pipe radius result in quicker drainage of Bingham plastic fluid from the circular tank.

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“…In the spirit of the suggested strategies and keeping in view the efficiency of the VIM along with the novel ideas of the solution strategies using wavelet-based methods (WBM), therefore, work is extended towards the coupling of the modern WBM with the latest techniques like VIM [23]. Combining the CW with the other various algorithms has several advantages moreover the main goal is good accuracy, which is possible in the spirit of [29][30][31]. This approach is based on the coupling the Chebyshev wavelets with VIM.…”

Section: Introductionmentioning

confidence: 99%

Combined variational iteration method with chebyshev wavelet for the solution of convection-diffusion-reaction problem

Memon

Amur

Shaikh

2023

Mehran Univ. res. j. eng. technol.

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The goal of the work is to solve the nonlinear convection-diffusion-reaction problem using the variational iteration method with the combination of the Chebyshev wavelet. This work developed a hybrid iterative technique named as Variational iteration method with the Chebyshev wavelet for the solutions of nonlinear convection-diffusion-reaction problems. The aim of applying the derived algorithm is to achieve fast convergence. During the solution of the given problem, the restricted variations will be mathematically justified. The effects of the scaling and other parameters like diffusion parameter, convection parameter, and reaction parameter on the solution are also focused on by their suitable selection. The approximate results include the error profiles and the simulations. The results of variational iteration with the Chebyshev wavelet are compared with variational iteration method, the Modified variational iteration method, and the Variational iteration method with Legendre wavelet. The error profiles allow us to compare the results with well-known existing schemes.

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Exact Solution for PTT Fluid on a Vertical Moving Belt for Lift with Slip Condition

Cited by 11 publications

References 0 publications

Series Solution of Unsteady Tank Drainage for Third Order Fluid using Adomian Decomposition Method

Series Solution of Unsteady Tank Drainage for Third Order Fluid using Adomian Decomposition Method

Exact Solution of Tank Drainage for Bingham Fluid flow circular tube

Combined variational iteration method with chebyshev wavelet for the solution of convection-diffusion-reaction problem

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