scholarly journals Differential transform method for unsteady nanofluid flow and heat transfer

2018 ◽  
Vol 57 (3) ◽  
pp. 1867-1875 ◽  
Author(s):  
Muhammad Usman ◽  
Muhammad Hamid ◽  
Umar Khan ◽  
Syed Tauseef Mohyud Din ◽  
Muhammad Asad Iqbal ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Differential Transform Method ◽  
Nanofluid Flow ◽  
Transform Method ◽  
Flow And Heat Transfer ◽  
Differential Transform

scholarly journals Differential Transform Technique on the Effect of Baffle Convective Nanofluid Flow in Saturated Porous Channel

2019 ◽  
Vol 8 (4) ◽  
pp. 10349-10360
Keyword(s):  
Porous Medium ◽  
Perturbation Method ◽  
Vertical Channel ◽  
Differential Transform Method ◽  
Regular Perturbation ◽  
Nanofluid Flow ◽  
Transform Method ◽  
Differential Transform ◽  
Perturbation Parameters ◽  
Energy Equations

Simulations are shown for steady nanofluid saturated with porous medium in a vertical channel divided into two way by placing a thin baffle. Tiwari and Das model applied for continuity, momentum and energy equations are written using to define the nanofluid and non-Darcy model used for porous medium. The nonlinear equations are solved analytically using regular perturbation method and by semi analytical method using differential transform method. The validity of the solutions obtained by perturbation method and differential transform method are compared and found that they agree very well for small values of perturbation parameters. The numerical values of the velocity and temperature are shown graphically at different baffle positions for all the pertinent parameters. The Nusselt number for both regular and nanofluids are evaluated and tabulated.

scholarly journals A Review: Differential Transform Method for Semi-Analytical Solution of Differential Equations

2020 ◽  
Vol 25 (2) ◽  
pp. 122-129
Author(s):  
M.M. Rashidi ◽  
F. Rabiei ◽  
S. Naseri Nia ◽  
S. Abbasbandy
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Differential Equations ◽  
Analytical Method ◽  
Transformation Method ◽  
Differential Transform Method ◽  
Transform Method ◽  
Differential Transform ◽  
Different Types ◽  
Integral Differential Equations

AbstractIn this article, the semi-analytical method known as the Differential Transform Method (DTM) for solving different types of differential equations is reviewed. First, basic definitions and formulas of DTM and Differential Transform-Padé approximation (DTM-Padé), which are used to increase the convergence and accuracy of DTM approximations, are discussed. Then both techniques of DTM and DTM-Padé, which have been successfully applied to partial differential equations, as well as the application of these methods in fluid mechanic and heat transfer are presented. In addition, the extension of DTM for integral differential equations and the fuzzy differential transformation method (FDTM) for fuzzy problems are discussed.

scholarly journals A new method solving local fractional differential equations in heat transfer

2019 ◽  
Vol 23 (3 Part A) ◽  
pp. 1663-1669
Author(s):  
Yong-Ju Yang
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Fractional Differential Equations ◽  
Differential Transform Method ◽  
New Method ◽  
Transform Method ◽  
Variational Iteration ◽  
Differential Transform ◽  
Differential Operation ◽  
Fractional Differential

In this article, a new method, which is coupled by the variational iteration and reduced differential transform method, is proposed to solve local fractional differential equations. The advantage of the method is that the integral operation of variational iteration is transformed into the differential operation. One test examples is presented to demonstrate the reliability and efficiency of the proposed method.

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