International Journal of Numerical Methods for Heat & Fluid Flow: Volume 25 Issue 1

Improvement of fast fluid dynamics with a conservative semi-Lagrangian scheme

Mingang Jin, Qingyan Chen

The purpose of this paper is to develop a simple and efficient conservative semi-Lagrangian scheme (SL) for solving advection equation in fast fluid dynamics (FFD), so FFD can…

Cross-kink multi-soliton solutions for the (3+1)-D Jimbo-Miwa equation

Zhenhui Xu, Hanlin Chen

– The purpose of this paper is to reveal the dynamical behavior of higher dimensional nonlinear wave by searching for the multi-wave solutions to the (3+1)-D Jimbo-Miwa equation.

The study of the temperature field in an infinite slab under line and plane heat source

Wang Qing-Cheng, Wu Zhao-Chun, Zhu Xiang-Ping

The purpose of this paper is to reveal the characteristics of the temperature field under different types of heat sources, which are significant to the temperature control…

New travelling wave solutions for coupled fractional variant Boussinesq equation and approximate long water wave equation

Limei Yan

The purpose of this paper is to apply the fractional sub-equation method to research on coupled fractional variant Boussinesq equation and fractional approximate long water wave…

An efficient algorithm based on Haar wavelets for numerical simulation of Fokker-Planck equations with constants and variable coefficients

Manoj Kumar, Sapna Pandit

The purpose of this paper is to discuss the application of the Haar wavelets for solving linear and nonlinear Fokker-Planck equations with appropriate initial and boundary…

Approximate solutions of multi-order fractional advection-dispersion equation with non-polynomial conditions

Yanqin Liu, Lihua Dong

The purpose of this paper is to apply a new modified homotopy perturbation method, which is effective to solve multi-order fractional equations with non-polynomial initial and…

Three dimensional flow of an Oldroyd-B fluid with Newtonian heating

M. Ramzan, M. Farooq, M. S. Alhothuali, H. M. Malaikah, W. Cui, T. Hayat

– The purpose of this paper is to analyze the boundary layer flow of an Oldroyd-B fluid with Newtonian heating.

Direct expansion method of moments with n/3th moments for nanoparticle Brownian coagulation in the free molecule regime

Yuan Fangyang, Chen Zhongli

The purpose of this paper is to develop new types of direct expansion method of moments (DEMM) by using the n/3th moments for simulating nanoparticle Brownian coagulation in the…

Soret and Dufour effects in three-dimensional flow of Maxwell fluid with chemical reaction and convective condition

T. Hayat, M. Bilal Ashraf, A. Alsaedi, M. S. Alhothuali

The purpose of this paper is to address the heat and mass transfer effects in three-dimensional flow of Maxwell fluid over a stretching surface with convective boundary…

A fractional approach to wicking fluid flow in nonwoven porous fabric

Zhu Fanglong, Feng Qianqian, Liu Rangtong, Li Kejing, Zhou Yu

– The purpose of this paper is to employ a fractional approach to predict the permeability of nonwoven fabrics by simulating diffusion process.

Solitons and other solutions of the long-short wave equation

Ghodrat Ebadi, Aida Mojaver, Sachin Kumar, Anjan Biswas

The purpose of this paper is to discuss the integrability studies to the long-short wave equation that is studied in the context of shallow water waves. There are several…

Breather-type kink wave of the (2+1)-dimensional BKP equation

Wei Chen, Hanlin Chen, Zhengde Dai

The purpose of this paper is to find solutions for the (2+1)-dimensional B-type Kadomtsev-Petviashvili equation and to research the quality of B-type Kadomtsev-Petviashvili…

Simulation of the impinging liquid jet cooling process of a flat plate

Paul Stark, Udo Fritsching

The purpose of this paper is to develop a numerical model to simulate the flow field as well as the conjugate heat transfer during unsteady cooling of a flat plate with a single…

Numerical investigation of fluid flow structure and heat transfer in a passage with continuous and truncated V-shaped ribs

Shian Li, Gongnan Xie, Bengt Sunden

The employment of continuous ribs in a passage involves a noticeable pressure drop penalty, while other studies have shown that truncated ribs may provide a potential to reduce…

A numerical method for two-dimensional inverse heat conduction problems

Xiuying Li

– The purpose of this paper is to introduce an effective method for two-dimensional inverse heat conduction problems.