... 12 03 2025 27 03 2025 27 03 2025 © Emerald Publishing Limited 2025 Emerald Publishing Limited Licensed re-use rights only Ternary hybrid nanofluids Stagnation point Similarity solution Second-order slip flow Numerical solution The term nanofluid refers...

... rights only Aboodh integral transform Homotopy perturbation scheme Helmholtz equation Numerical solution Fractional calculus (FC) is a rapidly emerging study in numerous scientific and technological fields, including fluid flows, solute transportation, the theory of electromagnetism...

... rights only Numerical solution Laminar flow Rounded corners Flow characteristics Trapezoidal ducts A = Duct cross-sectional area (m^{2); a = Duct small base (m); D_h = Hydraulic diameter (m); fRe = Poiseuille number}...

... 04 2021 © Emerald Publishing Limited 2021 Emerald Publishing Limited Licensed re-use rights only Numerical solution Boundary layer Williamson fluid model Electro-osmotic forces (EOF) S = Stress tensor; V ¯ = Fluid velocity; E...

... The numerical solutions of the arising boundary value problem are obtained using the function bvp4c from MATLAB for different values of the governing parameters. Findings It is found that the solutions of the ordinary (similarity) differential equations have two branches, upper and lower branch solutions...

... Cross flow Numerical solution Analytical solution Stability analysis Stretching/shrinking sheet Hybrid nanofluids (4) u ∂ T ∂ x + v ∂ T ∂ y = k h n f ( ρ C p ) h n f ∂ 2 T ∂ y 2 subject to the boundary...

... mathematical analysis has also to be carried out to prove the regularity of model. The authors believe that the numerical results are original and have not been copied from any other sources. Numerical solution MHD nanofluid Thermal radiation Rotating stretchable disk Joule heating Porous medium...

... Publishing Limited Licensed re-use rights only Skin friction Numerical solution Fluid velocity Improved generalized Adomian decomposition method Magnetic field In recent decades, boundary layer flows have received particular attention of researchers because of their important applications...

... are considered here. Design/methodology/approach Similarity transformations are used to reduce the governing partial differential equations to a system of ordinary (similarity) differential equations. A MATLAB solver called the bvp4c is then used to compute the numerical solutions of equations (12) to (14...

.... Design/methodology/approach The basic steady equations of the CF and dust phases are in the form of partial differential equations (PDEs) which are remodeled into ordinary ones with the aid of similarity transformations. In addition to analytical solution, numerical solution is obtained for the reduced...

... is implemented. Heat transport features are inspected via the convective boundary condition and the heat source. Numerical solutions of the resulting system of equations are obtained via the bvp4c technique. Variation in velocity, Nusselt number, temperature and skin friction coefficient have been studied...

... 08 2017 24 08 2017 © Emerald Publishing Limited 2018 Emerald Publishing Limited Licensed re-use rights only Nanoparticles Numerical solution Darcy-Forchheimer flow Convective heat and mass conditions Curved stretching surface Many engineering, industrial...

... Numerical solution Darcy–Forchheimer flow Rotating disk Convective heat and mass conditions Low thermal efficiency of working fluids is a main problem for several heat transport mechanisms in the engineering applications. Thus, several researchers are engaged to develop an innovative way...

... by a convenient shooting method and by contemporary built in routine bvp4c of MATLAB. Findings The numerical solutions are used to address the role of main ingredients of the problem, namely, wall roughness, radiation and chemical reaction on the flow fields. Research limitations/implications Temperature...

.... Design/methodology/approach Numerical solution of the problem is obtained using the well-known Runge–Kutta–Fehlberg method. Findings The analysis provided gives a clear description that the increase in m and magnetic parameter M results in an increased velocity profile. Both...

... © Emerald Publishing Limited 2017 Emerald Publishing Limited Licensed re-use rights only Numerical solution Moving plate Stagnation point flow Unsteady mixed convection flow α = thermal diffusivity β = thermal expansion coefficient γ...

... at: a.saadatmandi@gmail.com 08 05 2015 25 06 2015 30 06 2015 © Emerald Group Publishing Limited 2016 Emerald Group Publishing Limited Licensed re-use rights only MHD flow Numerical solution Collocation method Porous stretching sheet Rational Legendre UCM fluid...

... Nanoparticles Three-dimensional flow Numerical solution Mixed convection Heat source/sink Squeezing effect A homogeneous suspension of nanometer sized particles called nanoparticles in a base fluid is referred as nanofluid. It is well known that, the base fluids such as water, ethylene glycol, oil...

... is an efficient and crucial tool for analytical solutions. This paper considers the method’s applications to numerical solutions of partial differential equations and investigates the initial boundary value problem as: (Equation 4) This study is organized as follows: Section 2 introduces the new...

.../methodology/approach The equations governing the fluid flow and temperature fields for both the fluid and dust phases are reduced to coupled non‐linear ordinary differential equations by using a suitable set of similarity transformations. Numerical solutions of the resulting equations are obtained using...