.../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...

... Numerical analysis Natural convection Periodic flow Vertical cylinder array Water-filled enclosure D = cylinder diameter, m; g = gravity vector, m/s²; g = gravitational acceleration, m/s²; H = height of the cavity, m; L = distance...

... coefficient also depends on the ambient pressure: (1) ρ c ∂ T ∂ t − ∂ ∂ x ( k ∂ T ∂ x ) = 0 where: Heat transfer Inverse problem Thermal protection system Heat conduction Heat radiation Aerodynamic heating Porous material Numerical analysis...

.... Originality/value The present results are original and new for the study of fluid flow and heat transfer over a stretching/shrinking surface, as they successfully extend the problem considered by Wang (2008) and Lok et al. (2011) to the case of nanofluids. Nanofluid Stagnation point Numerical...

... 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...

... and large positive constants, respectively. Xia Cui is the corresponding author and can be contacted at: cui_xia@iapcm.ac.cn 19 10 2016 12 01 2017 © Emerald Publishing Limited 2018 Emerald Publishing Limited Licensed re-use rights only Convergence Numerical analysis...

... of the initial and boundary conditions and conditions at the solid plate are: 27 08 2015 17 10 2015 29 10 2015 Natural convection Heat transfer Engineering applications Numerical analysis Nomenclature A_c aspect ratio of the plate in y...

..., the lattice Boltzmann Bhatnagar-Gross-Krook (LBGK) model is the most widely used, which is applied herein for its simplicity. © Emerald Group Publishing Limited 2015 Numerical analysis Pressure drop Microchannels Laminar flow Random midpoint displacement Micro-electro-mechanical...

... Two‐dimensional Fast precooling Cylindrical food product Heat generation Numerical analysis Heat conduction Food products A₀, A₁=heat generation constants Bi=modified Biot number c_p=specific heat...

... 2013 Mixed convection Lid‐driven cavity Discrete heating Heat transfer Liquid flow Numerical analysis B =uniform magnetic field B₀=strength of the magnetic field, T c_p=specific heat, J/(kg · K) F =electromagnetic force g...

... at: ziel0064@umn.edu © Emerald Group Publishing Limited 2013 Diffusion Numerical analysis Fractional diffusion Random walk Non‐Cartesian domain 1. The point P is placed at a specified point in the domain and its location is fixed. 2. The domain then undergoes a random rigid...

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

... applicability, accuracy and efficiency of HPM in solving nonlinear differential equations. It is predicted that HPM can be widely applied in science and engineering problems. Fornberg‐Whitham equations Homotopy perturbation method Numerical analysis Mathematical modeling of many physical systems...

... is available in the literature which can describe the heat transfer, MHD and slip effects simultaneously on the flows of the non‐Newtonian fluids. R. Ellahi can be contacted at: rahmatellahi@yahoo.com © Emerald Group Publishing Limited 2012 Slip Heat transfer Flow Numerical analysis...

... 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...

... accurate solutions. Syed Tauseef Mohyud‐Din can be contacted at: syedtauseefs@hotmail.com © Emerald Group Publishing Limited 2011 Homotopy perturbation method Improved Boussinesq equation Solutions Numerical analysis The well‐known model was proposed by Boussinesq (1871...

... Meshes Flow Flux Numerical analysis © Emerald Group Publishing Limited 2011 Huanxin Lai can be contacted at: hlai@ecust.edu.cn However, because of the difficulties in unstructured methods, such as the irregularity of the node and cell indexing, and the variety of neighbor finite...

... soliton solution for the KK equation by HPM. The numerical results presented show that this method is very accurate. © Emerald Group Publishing Limited 2011 Differential equations Numerical analysis Iterative methods Computer software Equation 1 Equation 2...

...=((δρ)/(4(1+δ))) and ρ=√4β(1+δ). Numerical analysis Linear structure equation modeling Finite element analysis Equation 4 Equation 5 Equation 6 We must first linearize our system as follows: Equation 34 where m...

.... Mohamed Rady can be contacted at: makrady@yahoo.com © Emerald Group Publishing Limited 2010 Alloys Flow Solidification Formed materials Numerical analysis C₀ initial mass fraction of solute (Sn) in the alloy (wt%) Cmax maximum solute concentration (%) Cmin...