On Comparison of Homotopy Analysis Method and Finite Difference Method for Two Dimensional Steady Compressible Flow with Pressure Gradients

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Mahantesh M. Nandeppanavar ◽  
R. Madhusudhan ◽  
M. C. Kemparaju ◽  
R. Latha
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Compressible Flow ◽  
Homotopy Analysis Method ◽  
Difference Method ◽  
Pressure Gradients ◽  
Two Dimensional ◽  
Analysis Method ◽  
Homotopy Analysis

scholarly journals Dynamics with Cattaneo–Christov heat and mass flux theory of bioconvection Oldroyd-B nanofluid

2020 ◽  
Vol 12 (8) ◽  
pp. 168781402093046 ◽  
Author(s):  
Noor Saeed Khan ◽  
Qayyum Shah ◽  
Arif Sohail
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Differential Equations ◽  
Mass Flux ◽  
Homotopy Analysis Method ◽  
Two Dimensional ◽  
Analysis Method ◽  
Homotopy Analysis ◽  
Transfer Flow ◽  
Insight Into

Entropy generation in bioconvection two-dimensional steady incompressible non-Newtonian Oldroyd-B nanofluid with Cattaneo–Christov heat and mass flux theory is investigated. The Darcy–Forchheimer law is used to study heat and mass transfer flow and microorganisms motion in porous media. Using appropriate similarity variables, the partial differential equations are transformed into ordinary differential equations which are then solved by homotopy analysis method. For an insight into the problem, the effects of various parameters on different profiles are shown in different graphs.

The Simplified Method to Calculate Two-Dimensional Heat Conduction Equations of Heating Slab

2011 ◽  
Vol 79 ◽  
pp. 105-110
Author(s):  
Guo Jun Li ◽  
Xiao Ting Li ◽  
Hai Geng Chen
Keyword(s):  
Heat Conduction ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Thermal Flux ◽  
Computational Time ◽  
Fourth Power ◽  
Heating Process ◽  
Two Dimensional ◽  
Simplified Method

The most effective way of determining the whole billet temperature field is to use a simulation model. Large amount of calculation as well as computational time is consumed to employ two-dimensional finite difference method since the heating process is extremely complex, then it’s necessary to simplify the calculation process. In this paper, a simplified method in one-dimension format was presented to calculate two-dimensional heat conduction equations of heating slab. The billet simulated was placed in a changeable thermal flux boundary environment, in which the thermal flux was proportional to fourth power of temperature. During the heating process, the changeable parameters were taken into account: i. e different billet dimensions, different billet thermal conduction, different specific heat, etc. The comparision between results of two-dimensional finite difference method and the simplified method verified that the simplified method can satisfy accuracy requirement as well as calculation time saving, which enable the simplified method online using.

A hybrid method for transonic flow past multi-element aerofoils

1986 ◽  
Vol 170 ◽  
pp. 253-264 ◽  
Author(s):  
M. G. Hill ◽  
N. Riley
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Compressible Flow ◽  
Hybrid Method ◽  
Difference Method ◽  
Transonic Flow ◽  
Potential Flow ◽  
Supercritical Flow ◽  
Subcritical Flow ◽  
Flow Past

A method for calculating transonic potential flow past a multi-element aerofoil configuration is presented. The method is a hybrid method that is based upon a compressible-flow panel method, valid for subcritical flow, and a finite-difference method that is suitable for supercritical flow calculations. The effectiveness of the proposed method is demonstrated, first by application to a single aerofoil and then to a three-element aerofoil.

Sign in / Sign up

Export Citation Format

Share Document