... 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 to a liquid...

...., 2022 ; Liaqat et al., 2022): © Emerald Publishing Limited 2024 Emerald Publishing Limited Licensed re-use rights only Aboodh integral transform Homotopy perturbation scheme Helmholtz equation Numerical solution (2) ∂ 2 ∂ § 2 ϑ ( § , φ...

... Licensed re-use rights only Numerical solution Laminar flow Rounded corners Flow characteristics Trapezoidal ducts Figure 2. A cross section for a trapezoidal duct with rounded corners A = Duct cross-sectional area (m^{2); a = Duct small base (m}...

... al., 2017 ; Ali et al., 2020), then prepare the numerical results and the significant results are discussed across all the leading parameters. (6) ∂ u ∂ x + ∂ v ∂ y = 0. Momentum equation: Numerical solution Boundary layer...

... 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...

... ″ + 2 f θ ′ = 0 with the boundary conditions: Cross flow Numerical solution Analytical solution Stability analysis Stretching/shrinking sheet Hybrid nanofluids A great importance has been given to the problem of stretching/shrinking sheets in a viscous fluid as it has...

... 2020 Emerald Publishing Limited 2020 Emerald Publishing Limited Licensed re-use rights only Numerical solution MHD nanofluid Thermal radiation Rotating stretchable disk Joule heating Porous medium Due to boundless applications and achievements in heat transfer, nanoparticles have...

... the following expressions: (5) u ∞ ( x ) = a x m (6) B ( x ) = B 0 x ( m − 1 ) / 2 Now, define the following variables and quantities: Skin friction Numerical solution Fluid velocity Improved generalized Adomian decomposition method Magnetic...

... 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...

... not been published elsewhere. Muhammad Ijaz Khan can be contacted at: mikhan@math.qau.edu.pk 07 01 2019 22 02 2019 06 03 2019 © Emerald Publishing Limited 2019 Emerald Publishing Limited Licensed re-use rights only Convective boundary condition Numerical solution...

..., no such consideration has been given in the literature yet. © 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...

... re-use rights only Nanoparticles Numerical solution Darcy–Forchheimer flow Rotating disk Convective heat and mass conditions The investigators at present are involved in analyzing the fluid flow because of a rotating disk. It is because of its vast applications in centrifugal pumps...

... 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...

... ∞ ) / ( T w − T ∞ ) ,   η = c ν   ( 1 −   a   t )   y where ψ is the stream function which is defined in the usual way as u = ∂ ψ/∂ y and v = − ∂ ψ/∂ x. Thus, we have: Numerical solution...

.... These functions have three properties: easy computation, rapid convergence and completeness (Guo et al., 2000). Spectral collocation methods are powerful and highly accurate techniques for numerical solution of non-linear differential equations (Saadatmandi et al., 2005, 2012 ; Saadatmandi...

... and heat capacity of the nanofluid, respectively. They are defined as follows: B.J. Gireesha can be contacted at: g.bijjanaljayanna@csuohio.edu © Emerald Group Publishing Limited 2016 Nanoparticles Three-dimensional flow Numerical solution Mixed convection Heat source/sink Squeezing...

... at: ericlee@cityu.edu.hk © Emerald Group Publishing Limited 2015 Variational iteration method Integral equation of partial differential equation Numerical solution The reaction-diffusion systems are one of the crucial models arising in the chemical diffusion engineer problems. Much...

... 2013 Plate baffles Channel Turbulent flow Numerical solution Forced convection Flow Heat transfer a=speed of sound C_f=friction coefficient Cp=specific heat at constant pressure (J/kg K) D=distance between two baffles (m...