... Numerical analysis Magnetic nanoparticles Casson nanofluid Heatlines and masslines Convective heat transfer Stratification Deanship of Research and Graduate Studies at King Khalid University RGP2/228/46 The authors extend their appreciation to the Deanship of Research and Graduate Studies...

.../methodology/approach A two-step numerical analysis is used to develop and simulate a bioheat model using improved finite element method and deep learning algorithms, systematically regulating temperature distributions within the hydrogel artificial tissue during radiofrequency ablation (RFA). The model...

... 2019 30 04 2019 30 05 2019 © Emerald Publishing Limited 2019 Emerald Publishing Limited Licensed re-use rights only Numerical analysis Natural convection Periodic flow Vertical cylinder array Water-filled enclosure Upon incorporating these hypotheses...

... Aerodynamic heating Porous material Numerical analysis δ J [ γ ] = lim ⁡ λ → 0 J [ γ + λ δ γ ] − J [ γ ] λ with initial condition at moment (t = t_k) (10) p ( t k ) = 0 and boundary conditions: (11...

... 08 2018 © Emerald Publishing Limited 2018 Emerald Publishing Limited Licensed re-use rights only Nanofluid Stagnation point Numerical analysis Dual solution Linear stability analysis The two-dimensional orthogonal stagnation-point flows impinging on a flat wall...

... section to the maximum channel spacing section at a constant velocity so that its effect interferes with the buoyancy effect. The numerical analysis is accomplished by means of the finite volume method, using the commercial code Fluent. Findings Results in terms of heated upper plate and moving lower...

... discrete schemes for conservative diffusion equation ”, Mathematica Numerica Sinica , Vol. 37 , pp. 227 - 246 . Cui , X. , Yuan , G.W. and Yue , J.Y. (2016), “ Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second-order...

... at the solid plate are: 27 08 2015 17 10 2015 29 10 2015 © Emerald Group Publishing Limited 2016 Emerald Group Publishing Limited Licensed re-use rights only Natural convection Heat transfer Engineering applications Numerical analysis Nomenclature...

... to investigate the pressure drop characteristics in rough microchannels. © Emerald Group Publishing Limited 2015 Numerical analysis Pressure drop Microchannels Laminar flow Random midpoint displacement Micro-electro-mechanical systems (MEMS), ranging from miniature transducers to complex...

... c=center s=surface Mohammed Q. Al‐Odat can be contacted at: m_alodat@yahoo.com Hyperbolic heat conduction Two‐dimensional Fast precooling Cylindrical food product Heat generation Numerical analysis Heat conduction Food products A₀...

...=heater S. Sivasankaran can be contacted at: sd.siva@yahoo.com © Emerald Group Publishing Limited 2013 Mixed convection Lid‐driven cavity Discrete heating Heat transfer Liquid flow Numerical analysis B =uniform magnetic field B₀=strength of the magnetic...

... Limited 2013 Diffusion Numerical analysis Fractional diffusion Random walk Non‐Cartesian domain In developing computational approaches for the solution of general transport equations a standard test problem is the steady‐state transport in an arbitrary two‐dimensional domain Ω...

... equations Homotopy perturbation method Numerical analysis Mathematical modeling of many physical systems leads to nonlinear ordinary or partial differential equations in various fields of physics and engineering. There are some methods to obtain approximate solutions of these kinds of equations...

...‐Kutta Numerical analysis ρ=density of fluid ∇=del operator p=pressure R=Reynolds number U=velocity of slider in lateral direction W=velocity of fluid injected through porous bottom of slider γ=kinematic viscosity...

... is available in the literature which can describe the heat transfer, MHD and slip effects simultaneously on the flows of the non‐Newtonian fluids. Slip Heat transfer Flow Numerical analysis The fluid velocity at the fluid‐solid interface is generally assumed to satisfy the no‐slip boundary...

... are analyzed numerically. Research limitations/implications The present numerical analysis is carried out for “air” media and hence these results may not be accurate for other fluids with large variations of Prandtl numbers. Practical implications In open literature, these fins are generally evaluated...

... Emerald Group Publishing Limited 2011 Homotopy perturbation method Improved Boussinesq equation Solutions Numerical analysis The well‐known model was proposed by Boussinesq (1871) in the following form: Equation 1 In equation (1), u=u(x, t), |q...

... 2011 Meshes Flow Flux Numerical analysis A, A→=area of facet enclosing control volume ΔV, and its vectoral form u→=velocity vector U=velocity component in x direction; virtual upstream grid point V=velocity component...

.... Differential equations Numerical analysis Iterative methods Computer software © Emerald Group Publishing Limited 2011 Syed Tauseef Mohyud‐Din can be contacted at: syedtauseefs@hotmail.com Consider the initial value problem associated with the KK equation: Equation 21   Equation 22...

... x_j; and the first derivative of the approximate initial condition agrees with those of the exact initial condition at both ends of the range. Talaat S. El Danaf can be contacted at: talaat11@yahoo.com © Emerald Group Publishing Limited 2011 Numerical analysis Linear...