... similarity transformations are implemented to reformulate the governing partial differential equations into coupled non-linear ordinary differential equations of higher order. The numerical solutions are obtained for the simplified governing equations with the aid of finite difference technique. Findings...

... is adopted. A finite difference method of second-order accuracy with the Southwell-over-relaxation method is deployed to solve the non-dimensional momentum and energy conservation equations under physically robust boundary conditions. Findings It is found that the presence of porous structure...

... equations with the aid of finite difference technique. Findings Numerical calculations point out that pressure gradient parameter leads to improve all skin friction coefficient, rate of heat transfer and absolute value of rate of nanoparticle concentration. As well as, lager values of Weissenberg number...

...Appanah Rao Appadu Purpose An unconditionally positive definite finite difference scheme termed as UPFD has been derived to approximate a linear advection-diffusion-reaction equation which models exponential travelling waves and the coefficients of advection, diffusion and reactive terms have been...

... for small dimensionless time until the second order. Numerical solutions of the governing equations are obtained employing the implicit finite-difference scheme in combination with the quasi-linearization technique. The obtained results will be compared with earlier papers on special cases of the problem...

... at the base, arc length and arc width relative to those of the plain fin. Heat transfer Conduction Augmentation Fin Finite difference Wave q_f fin heat transfer rate per unit volume (W m−3) (Equation 7) fin heat transfer rate (W...

... were tested. Parallelization in the axial direction turned out to be more efficient than parallelization in the circumferential direction. Originality/value This paper presents a pragmatic parallelization of an open source finite difference code and should be useful to researchers in the field...

..., we develop a three‐dimensional numerical method for obtaining the temperature profile in an X‐ray irradiation process by using a hybrid finite element‐finite difference scheme for solving three‐dimensional parabolic equations on thin layers. A domain decomposition algorithm is then obtained based...

...H.S. Takhar; P. Ganesan; K. Ekambavanan; V.M. Soundalgekar Presents a finite‐difference solution to transient free convection flow past a semi‐infinite vertical plate in which the plate temperature T¢_w(x) varies as the power of the axial co‐ordinate in the form...

... of an analytical solution in one direction and a finite‐difference method in another direction is used to solve for the temperature in the PCM. The heat transfer fluid (HTF) inlet temperature is given and the heat transfer between the HTF and the PCM is treated as a conjugate problem that requires no iterations...

...J. Shi This paper investigates the issue of linear stability analysis for two and three level explicit and implicit one‐dimensional finite different numerical schemes. A new approach which is based on the von Neumann method method is presented. This approach was validated by testing some popular...

... of the Rayleigh number and the radius ratio. The numerical solution is based on a finite difference method. Results indicate that the flow field always consists of two symmetrical cells at incipient convection even at radius ratios near unity. A good agreement is found between the analytical and numerical...

... of vorticity, stream function and temperature are expressed in a body‐fitted coordinates system,which were solved numerically by the finite difference method. Results are presented in terms of streamlines and isotherms, local and average Nusselt numbers, with Darcy‐Rayleigh number ranging from 0 to 1000...

...J.–C. Chen; S.–S. Sheu A linear stability analysis has been employed to investigate the thermocapillary instability occurring in a nonisothermal liquid bridge. The steady, axisymmetric basic state was solved numerically using a finite difference method. A mixed finite difference‐spectral method...