... appropriate similarity transformations, the governing partial differential equations are reduced to a system of ordinary differential equations. Numerical solutions are obtained using MATLAB’s bvp4c solver, while asymptotic approximations are derived for extreme values of the stretching, suction...

... field Porous media, Numerical solutions Although many researchers has explored nanofluids and microchannels, the interactions between motile microorganisms, viscosity variability and porous media in ciliated microchannels remain underexplored. This study aims to fill this gap by optimizing...

... cylinder where numerical solutions are obtained for representative values of the involved parameters. Asymptotic solutions for large λ and large σ are derived. Ioan Pop can be contacted at: ipop@math.ubbcluj.ro 01 07 2022 23 08 2022 24 08 2022 © Emerald...

... variables are introduced. Numerical solutions for the nonlinear problem are developed through Runge–Kutta–Fehlberg technique. The outcome of sundry variables for dimensionless flow, thermal and nanoparticle volume fraction fields are scrutinised through graphical illustrations. Findings The study’s...

... for the shrinking surface, respectively, and the parameter a measures the strength of the stagnation point flow having units (LT)⁻¹ (see Weidman, 2016). Nanofluid Stability analysis Similarity solutions Numerical solutions Stretching/shrinking surface...

... domains is yet to be tackled. For the purpose, we present this work which provides a numerical solution to the aforementioned problem. Two of the numerical schemes have been used to get the results: Galerkin’s method and Runge–Kutta–Fehlberg (RKF) method. Both of them are used in a number of studies...

... ordinary differential equations (ODEs). Further, Haar wavelet approach is applied to the reduced ODE under the subalgebra 4.1 for constructing numerical solutions of the flow problem. Findings A new type of solutions was obtained of the MHD Falkner–Skan boundary layer flow problem using the Haar...

...Maria T. Ibáñez; H. Power The main objective is to develop an efficient BEM scheme for the numerical solution of two‐dimensional heat problems. Our scheme will be of the re‐initialization type, in which the domain integrals are computed by a recursion relation which depends only on the boundary...

...M. Lappa; R. Savino; R. Monti The influence of buoyancy forces on oscillatory Marangoni flow in liquid bridges of different aspect ratio is investigated by three‐dimensional, time‐dependent numerical solutions and by laboratory experiments using a microscale apparatus and a thermographic...

...∞))) Heat transfer Convection Finite differences Porous medium Numerical solutions B_oMagnetic field strength C Dimensionless concentration at any point in the flow field c Concentration at any point in the flow field Ra_x Local Rayleigh number (Ra_x=ρ...

...O.M. Haddad; M. Abu‐Qudais; A.M. Maqableh Numerical solutions are presented for steady two‐dimensional symmetric flow past parabolic bodies in a uniform stream parallel to its axis. For this study, the full Navier‐Stokes equations and energy equation in parabolic coordinates were solved. A second...