Unsteady time-dependent incompressible Newtonian fluid flow between two parallel plates by homotopy analysis method (HAM), homotopy perturbation method (HPM) and collocation method (CM)

Shirkhani, M.R.; Hoshyar, H.A.; Rahimipetroudi, Iman; Akhavan, Hamed; Ganji, D.D.

doi:10.1016/j.jppr.2018.07.005

Cited by 25 publications

(6 citation statements)

References 27 publications

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“…where 𝑓 * 𝑚 (𝜂), 𝜃 * 𝑚 (𝜂), and 𝜙 * 𝑚 (𝜂) indicates the special solutions. The references [37][38][39][40] provide more information on the implemented HAM.…”

Section: Analytic Solutions By Hammentioning

confidence: 99%

Dynamics of heat transport in flow of non‐linear Oldroyd‐B fluid subject to non‐Fourier's theory

Yasir

Khan

2023

Z Angew Math Mech

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To study non‐Fourier heat and mass transport in the stagnation point flow of magnetized Oldroyd‐B fluid due to stretching cylinder, the Cattaneo–Christov heat flux model is used in this investigation. Further, as the controlling agents for thermal and solutal transport in the fluid flow, the heat generation/absorption source and chemical reaction are also considered. The formulations of a such physical phenomenon are going to form the PDEs. Through appropriate similarity variables, these governing partial differential equations for flow and energy transport are converted into the ordinary differential. The analytical series solutions are obtained through the use of a homotopic approach. The graphical upshots are conducted for velocity fields, temperature, and concentration distributions. In addition, energy transport analysis is performed for two kinds of surface heating mechanisms, namely the prescribed surface temperature (PST) and constant wall temperature (CWT). The outcomes of the current investigation revealed that a higher rate of heat transfer is observed in the case of CWT as compared to PST. Moreover, the increasing values of thermal and solutal relaxation time parameters reduce the heat and mass transport in the fluid flow, respectively.

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“…where 𝑓 * 𝑚 (𝜂), 𝜃 * 𝑚 (𝜂), and 𝜙 * 𝑚 (𝜂) indicates the special solutions. The references [37][38][39][40] provide more information on the implemented HAM.…”

Section: Analytic Solutions By Hammentioning

confidence: 99%

Dynamics of heat transport in flow of non‐linear Oldroyd‐B fluid subject to non‐Fourier's theory

Yasir

Khan

2023

Z Angew Math Mech

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“…HAM has been applied to estimate the analytical approximation of the HIV viral dynamic model [Naik, Zu, Ghoreishi, 2020a]. The collocation method (CM), the homotopy perturbation method (HPM) and HAM have been applied for unsteady time-dependent incompressible Newtonian fluid flow between two parallel plates [Shirkhani et al, 2018]. Stability analysis and an approximate solution of the SIR epidemic model have been carried out by using the homotopy analysis method [Naik, Zu, Ghoreishi, 2020b].…”

Section: Introductionmentioning

confidence: 99%

Analytical Approximation of a Nonlinear Model for Pest Control in Coconut Trees by the Homotopy Analysis Method

Suganya¹,

Senthamarai²

2022

CRM

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Rugose spiraling whitefly (RSW) is one of the major pests which affects the coconut trees. It feeds on the tree by sucking up the water content as well as the essential nutrients from leaves. It also forms sooty mold in leaves due to which the process of photosynthesis is inhibited. Biocontrol of pest is harmless for trees and crops. The experimental results in literature reveal that Pseudomallada astur is a potential predator for this pest. We investigate the dynamics of predator, Pseudomallada astur's interaction with rugose spiralling whitefly, Aleurodicus rugioperculatus in coconut trees using a mathematical model. In this system of ordinary differential equation, the pest-predator interaction is modeled using Holling type III functional response. The parametric values are calculated from the experimental results and are tabulated. An approximate analytical solution for the system has been derived. The homotopy analysis method proves to be a suitable method for creating solutions that are valid even for moderate to large parameter values, hence we employ the same to solve this nonlinear model. The -curves, which give the admissible region of , are provided to validate the region of convergence. We have derived the approximate solution at fifth order and stopped at this order since we obtain a more approximate solution in this iteration. Numerical simulation is obtained through MATLAB. The analytical results are compared with numerical simulation and are found to be in good agreement. The biological interpretation of figures implies that the use of a predator reduces the whitefly's growth to a greater extent.

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“…Agarwal [13] studied the flow of a micropolar fluid between two disks, which has uniform permeability for suction by using HPM. Shirkhani et al [14] performed flow characteristics of a Newtonian fluid. They solved numerically as well as analytically and got the perfect match between the results.…”

Section: Introductionmentioning

confidence: 99%

Squeezing MHD Flow along with Heat Transfer between Parallel plates by Using the Differential Transform Method

Agarwal¹

2022

J. Nano- Electron. Phys.

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This research examines a squeezing flow with the characteristics of heat transfer in a viscous fluid. This fluid is squeezed between two parallel plates. The retrieved highly nonlinear equations are converted to a fourth-order single nonlinear differential equation for flow and a second-order differential equation for heat by using appropriate similarity transformation. A differential transform method (DTM) is applied to get the approximate solution of flow and heat transfer equations. The effect of different physical parameters is also discussed and presented graphically. To show the accuracy and exactness of DTM, numeric values of the skin-friction coefficient and Nusselt number are compared with previously published works and numerical methods.

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Unsteady time-dependent incompressible Newtonian fluid flow between two parallel plates by homotopy analysis method (HAM), homotopy perturbation method (HPM) and collocation method (CM)

Cited by 25 publications

References 27 publications

Dynamics of heat transport in flow of non‐linear Oldroyd‐B fluid subject to non‐Fourier's theory

Dynamics of heat transport in flow of non‐linear Oldroyd‐B fluid subject to non‐Fourier's theory

Analytical Approximation of a Nonlinear Model for Pest Control in Coconut Trees by the Homotopy Analysis Method

Squeezing MHD Flow along with Heat Transfer between Parallel plates by Using the Differential Transform Method

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