AN APPLICATION OF DIFFERENTIAL TRANSFORMATION METHOD FOR UNSTEADY MHD LAMINAR MOMENTUM BOUNDARY LAYER ABOVE A FLAT PLATE WITH LEADING EDGE ACCRETION

2020 ◽  
Vol 9 (8) ◽  
pp. 6087-6096
Author(s):  
A. John Christopher ◽  
G. Tamil Preethi
Keyword(s):  
Boundary Layer ◽  
Flat Plate ◽  
Leading Edge ◽  
Transformation Method ◽  
Differential Transformation Method ◽  
Differential Transformation ◽  
Momentum Boundary Layer

scholarly journals Differential transformation method to determine magneto hydrodynamics flow of compressible fluid in a channel with porous walls

2014 ◽  
Vol 32 (2) ◽  
pp. 249 ◽  
Author(s):  
Reza Mohammadyari ◽  
Mazaher Rahimi-Esbo ◽  
Alireza Khalili Asboei
Keyword(s):  
Boundary Layer ◽  
Compressible Fluid ◽  
Stokes Equations ◽  
Transformation Method ◽  
Differential Transformation Method ◽  
Navier Stokes ◽  
Differential Transformation ◽  
Similarity Transformations ◽  
Porous Walls ◽  
Layer Flow

In this article magneto hydrodynamics (MHD) boundary layer flow of compressible fluid in a channel with porous walls is researched. In this study it is shown that the nonlinear Navier-Stokes equations can be reduced to an ordinary differential equation, using the similarity transformations and boundary layer approximations. Analytical solution of the developed nonlinear equation is carried out by the Differential Transformation Method (DTM). In addition to applying DTM into the obtained equation, the result of the mentioned method is compared with a type of numerical analysis as Boundary Value Problem method (BVP) and a good agreement is seen. The effects of the Reynolds number and Hartman number are investigated.

scholarly journals An Improvement of the Differential Transformation Method and Its Application for Boundary Layer Flow of a Nanofluid

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Abdelhalim Ebaid ◽  
Hassan A. El-Arabawy ◽  
Nader Y. Abd Elazem
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Boundary Layer Flow ◽  
Transformation Method ◽  
Padé Approximants ◽  
Differential Transformation Method ◽  
Differential Transformation ◽  
Pade Approximants ◽  
Layer Flow

The main feature of the boundary layer flow problems of nanofluids or classical fluids is the inclusion of the boundary conditions at infinity. Such boundary conditions cause difficulties for any of the series methods when applied to solve such a kind of problems. In order to solve these difficulties, the authors usually resort to either Padé approximants or the commercial numerical codes. However, an intensive work is needed to perform the calculations using Padé technique. Due to the importance of the nanofluids flow as a growing field of research and the difficulties caused by using Padé approximants to solve such problems, a suggestion is proposed in this paper to map the semi-infinite domain into a finite one by the help of a transformation. Accordingly, the differential equations governing the fluid flow are transformed into singular differential equations with classical boundary conditions which can be directly solved by using the differential transformation method. The numerical results obtained by using the proposed technique are compared with the available exact solutions, where excellent accuracy is found. The main advantage of the present technique is the complete avoidance of using Padé approximants to treat the infinity boundary conditions.

Differential transformation method for circular membrane vibrations

2020 ◽  
Vol 61(12) (2) ◽  
pp. 333-350
Author(s):  
Jaipong Kasemsuwan ◽  
◽  
Sorin Vasile Sabau ◽  
Uraiwan Somboon ◽  
◽  
...  
Keyword(s):  
Transformation Method ◽  
Differential Transformation Method ◽  
Circular Membrane ◽  
Differential Transformation ◽  
Membrane Vibrations

Experimental study of heat transfer in the boundary layer of a flat plate with the impact of weak shock waves on the leading edge

2020 ◽  
Author(s):  
V. L. Kocharin ◽  
A. A. Yatskikh ◽  
D. S. Prishchepova ◽  
A. V. Panina ◽  
Yu. G. Yermolaev ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Experimental Study ◽  
Shock Waves ◽  
Flat Plate ◽  
Leading Edge ◽  
Weak Shock ◽  
The Impact
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