A Novel Approach for Thin Film Flow Problem Via Homotopy Analysis Sumudu Transform Method

2014 ◽  
pp. 287-294 ◽  
Author(s):  
Sushila ◽  
Y. S. Shishodia
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Flow Problem ◽  
Thin Film Flow ◽  
Transform Method ◽  
Novel Approach ◽  
Homotopy Analysis ◽  
Sumudu Transform

A New Integrator for Special Third Order Differential Equations With Application to Thin Film Flow Problem

2018 ◽  
Vol 49 (1) ◽  
pp. 151-167 ◽  
Author(s):  
Y. D. Jikantoro ◽  
F. Ismail ◽  
N. Senu ◽  
Z. B. Ibrahim
Keyword(s):  
Thin Film ◽  
Differential Equations ◽  
Film Flow ◽  
Flow Problem ◽  
Thin Film Flow ◽  
Third Order

scholarly journals Thin film flow of non-Newtonian fluids on a vertical moving belt using Homotopy Analysis Method

2009 ◽  
Vol 2 (1) ◽  
pp. 118-122 ◽  
Author(s):  
H. Nemati ◽  
◽  
M. Ghanbarpour ◽  
M. Hajibabayi ◽  
Hemmatnezhad ◽  
...  
Keyword(s):  
Thin Film ◽  
Homotopy Analysis Method ◽  
Film Flow ◽  
Newtonian Fluids ◽  
Analysis Method ◽  
Thin Film Flow ◽  
Homotopy Analysis

scholarly journals Viscoelastic MHD Nanofluid Thin Film Flow over an Unsteady Vertical Stretching Sheet with Entropy Generation

Processes ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 262 ◽  
Author(s):  
Asad Ullah ◽  
Zahir Shah ◽  
Poom Kumam ◽  
Muhammad Ayaz ◽  
Saeed Islam ◽  
...  
Keyword(s):  
Thin Film ◽  
Nusselt Number ◽  
Entropy Generation ◽  
Stretching Sheet ◽  
Film Flow ◽  
Analysis Method ◽  
Thin Film Flow ◽  
Nanofluid Flow ◽  
Boundary Layer Equations ◽  
Homotopy Analysis

The boundary-layer equations for mass and heat energy transfer with entropy generation are analyzed for the two-dimensional viscoelastic second-grade nanofluid thin film flow in the presence of a uniform magnetic field (MHD) over a vertical stretching sheet. Different factors, such as the thermophoresis effect, Brownian motion, and concentration gradients, are considered in the nanofluid model. The basic time-dependent equations of the nanofluid flow are modeled and transformed to the ordinary differential equations system by using similarity variables. Then the reduced system of equations is treated with the Homotopy Analysis Method to achieve the desire goal. The convergence of the method is prescribed by a numerical survey. The results obtained are more efficient than the available results for the boundary-layer equations, which is the beauty of the Homotopy Analysis Method, and shows the consistency, reliability, and accuracy of our obtained results. The effects of various parameters, such as Nusselt number, skin friction, and Sherwood number, on nanoliquid film flow are examined. Tables are displayed for skin friction, Sherwood number, and Nusselt number, which analyze the sheet surface in interaction with the nanofluid flow and other informative characteristics regarding this flow of the nanofluids. The behavior of the local Nusselt number and the entropy generation is examined numerically with the variations in the non-dimensional numbers. These results are shown with the help of graphs and briefly explained in the discussion. An analytical exploration is described for the unsteadiness parameter on the thin film. The larger values of the unsteadiness parameter increase the velocity profile. The nanofluid film velocity shows decline due the increasing values of the magnetic parameter. Moreover, a survey on the physical embedded parameters is given by graphs and discussed in detail.

scholarly journals Thin Film Flow of Micropolar Fluid in a Permeable Medium

Coatings ◽  
2019 ◽  
Vol 9 (2) ◽  
pp. 98 ◽  
Author(s):  
Vakkar Ali ◽  
Taza Gul ◽  
Shakeela Afridi ◽  
Farhad Ali ◽  
Sayer Alharbi ◽  
...  
Keyword(s):  
Thin Film ◽  
Micropolar Fluid ◽  
Film Flow ◽  
Thin Film Flow ◽  
Inertia Parameter ◽  
Homotopy Analysis ◽  
Permeability Parameter ◽  
Basic Equations ◽  
Stretching Plate ◽  
Effects Of Radiation

The thin film flow of micropolar fluid in a porous medium under the influence of thermophoresis with the heat effect past a stretching plate is analyzed. Micropolar fluid is assumed as a base fluid and the plate is considered to move with a linear velocity and subject to the variation of the reference temperature and concentration. The latitude of flow is limited to being two-dimensional and is steadily affected by sensitive fluid film size with the effect of thermal radiation. The basic equations of fluid flow are changed through the similarity variables into a set of nonlinear coupled differential equations with physical conditions. The suitable transformations for the energy equation is used and the non-dimensional form of the temperature field are different from the published work. The problem is solved by using Homotopy Analysis Method (HAM). The effects of radiation parameter R, vortex-viscosity parameter Δ, permeability parameter Mr, microrotation parameter Gr, Soret number Sr, thermophoretic parameter τ, inertia parameter Nr, Schmidt number Sc, and Prandtl number Pr are shown graphically and discussed.

scholarly journals Impact of Nonlinear Thermal Radiation on MHD Nanofluid Thin Film Flow over a Horizontally Rotating Disk

2019 ◽  
Vol 9 (8) ◽  
pp. 1533 ◽  
Author(s):  
Zahir Shah ◽  
Abdullah Dawar ◽  
Poom Kumam ◽  
Waris Khan ◽  
Saeed Islam
Keyword(s):  
Thin Film ◽  
Thermal Radiation ◽  
Film Flow ◽  
Rotating Disk ◽  
Point Of View ◽  
Working Fluid ◽  
Nonlinear Thermal Radiation ◽  
Thin Film Flow ◽  
Homotopy Analysis ◽  
The Impact

Nanoscience can be stated as a superlative way of changing the properties of a working fluid. Heat transmission features during the flow of nanofluids are an imperative rule from the industrial and technological point of view. This article presents a thin film flow of viscous nanofluids over a horizontal rotating disk. The impact of non-linear thermal radiation and a uniform magnetic field is emphasized in this work. The governing equations were transformed and solved by the homotopy analysis method and the ND-Solve technique. Both analytical and numerical results are compared graphically and numerically, and excellent agreement was obtained. Skin friction and the Nusselt number were calculated numerically. It is concluded that the thin film thickness of nanofluids reduces with enhanced values of the magnetic parameter. In addition, the nanofluid temperature was augmented with increasing values of the thermal radiation parameter. The impact of emerging parameters on velocities and temperature profiles were obtainable through graphs and were deliberated on in detail.

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