International Journal of Numerical Methods for Heat & Fluid Flow: Volume 30 Issue 11

MHD mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field: A stability analysis

Fadzilah Md Ali, Kohilavani Naganthran, Roslinda Nazar, Ioan Pop

This study aims to perform a stability analysis on a steady magnetohydrodynamic (MHD) mixed convection boundary-layer stagnation-point flow of an incompressible, viscous and…

Numerical simulation of time-fractional partial differential equations arising in fluid flows via reproducing Kernel method

Omar Abu Arqub

The subject of the fractional calculus theory has gained considerable popularity and importance due to their attractive applications in widespread fields of physics and…

A conservative method of lines for advection-reaction-diffusion equations

J.I. Ramos

The purpose of this study is to develop a new method of lines for one-dimensional (1D) advection-reaction-diffusion (ADR) equations that is conservative and provides piecewise…

Eyring–Powell fluid flow through a circular pipe and heat transfer: full solutions

Turkyilmazoglu Mustafa

The purpose of this study is to examine the non-Newtonian physical model of Eyring–Powell fluid for the rheology inside a long circular pipe.

TiO2-Ag/blood hybrid nanofluid flow through an artery with applications of drug delivery and blood circulation in the respiratory system

Hamidreza Shojaie Chahregh, Saeed Dinarvand

As transferring biological fluid through an artery is nowadays a pivotal subject, the purpose of this paper is to study the mathematical model of hybrid nanofluid flow comprising…

A general numerical algorithm for nonlinear differential equations by the variational iteration method

Ji-Huan He, Habibolla Latifizadeh

The purpose of this paper is to suggest a general numerical algorithm for nonlinear problems by the variational iteration method (VIM).

Second law analysis of magneto-natural convection in a nanofluid filled wavy-hexagonal porous enclosure

Seyyed Masoud Seyyedi, A.S. Dogonchi, M. Hashemi-Tilehnoee, D.D. Ganji, Ali J. Chamkha

Natural convection heat transfer analysis can be completed using entropy generation analysis. This study aims to accomplish both the natural convection heat transfer and entropy…

Determination of volumetric material data from boundary measurements: Revisiting Calderon’s problem

Rainald Löhner, Harbir Antil

The purpose of this study is to determine the possibility of an accurate assessment of the spatial distribution of material properties such as conductivities or impedances from…

Generalized thermoelastic interaction in a two-dimensional porous medium under dual phase lag model

Aatef Hobiny, Ibrahim Abbas

The purpose of this study is to use the generalized model for thermoelastic wave under the dual phase lag (DPL) model to compute the increment of temperature, the components of…

Blood flow of MHD non-Newtonian nanofluid with heat transfer and slip effects: Application of bacterial growth in heart valve

Asmaa F. Elelamy, Nasser S. Elgazery, R. Ellahi

This paper aims to investigate a mathematical model with numerical simulation for bacterial growth in the heart valve.

Natural convection of a nanofluid-filled circular enclosure partially saturated with a porous medium using ISPH method

Abdelraheem M. Aly

The purpose of this study is to simulate the natural convection of a heated square shape embedded in a circular enclosure filled with nanofluid using an incompressible smoothed…

A short review on analytical methods for a fully fourth-order nonlinear integral boundary value problem with fractal derivatives

Ji-Huan He

This paper aims to review some effective methods for fully fourth-order nonlinear integral boundary value problems with fractal derivatives.

An optimum profile of a special pin fin: full solutions

Mustafa Turkyilmazoglu

This paper aims to present an elegant exact solution in terms of elementary functions for a special pin fin without the classical length-of-arc approximation.

Numerical investigation on activation energy of chemically reactive heat transfer unsteady flow with multiple slips

Aaqib Majeed, Noorul Amin, A. Zeeshan, R. Ellahi, Sadiq M. Sait, K. Vafai

The purpose of this study is to examine the impact of activation energy with binary chemical reaction for unsteady flow on permeable stretching surface.

Effect of the initial conditions on a one-dimensional model of small-amplitude wave propagation in shallow water: I: Wave dynamics

J.I. Ramos, Carmen María García López

The purpose of this paper is to determine both analytically and numerically the solution to a new one-dimensional equation for the propagation of small-amplitude waves in shallow…