Magnetic field influence on heat transfer of NEPCM in a porous triangular cavity with a cold fin and partial heat sources: AI analysis combined with ISPH method by Munirah Aali Alotaibi, Weaam Alhejaili, Abdelraheem M. Aly, Samiyah Almalki

“…Higher Darcy numbers improve circulation and convection by up to 30 %, creating more uniform thermal distributions, whereas lower Da values restrict fluid motion, intensifying temperature gradients. …”
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Performance improvement of transcritical vapor generator by a novel double-heated annular configuration by Yue Pan, Yuling Zhai, Zhouhang Li, Nan Hu

“…Numerical results from the present well-validated model show that in forced convection flow, the introduction of outside heating surprisingly increase the heat transfer coefficient at the inner side, with a maximum relative rise of 17 % to that with only inner heating. …”
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On the atomic masses (weights?) Of the elements by Kaptay G.

“…Fourth, the term atomic weight vs the term atomic mass is discussed shortly, in agreement with the SI system of units and in contrary to the questionable IUPAC convection.…”
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Optimal Tikhonov approximation for a sideways parabolic equation by Chu-Li Fu, Hong-Fang Li, Xiang-Tuan Xiong, Peng Fu

“…We consider an inverse heat conduction problem with convection term which appears in some applied subjects. …”
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Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition by Habtamu Garoma Debela, Gemechis File Duressa

“…In this paper, we consider a class of singularly perturbed differential equations of convection diffusion type with integral boundary condition. …”
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Stability of reaction fronts in thin domains by A. Agouzal, S. Boujena, I. Ciuperca, V. Volpert

“…The influence of natural convection and of heat losses through the walls of the reactor is studied numerically and analytically. …”
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The HPM Applied to MHD Nanofluid Flow over a Horizontal Stretching Plate by S. S. Nourazar, M. Habibi Matin, M. Simiari

“…The nonlinear two-dimensional forced-convection boundary-layer magneto hydrodynamic (MHD) incompressible flow of nanofluid over a horizontal stretching flat plate with variable magnetic field including the viscous dissipation effect is solved using the homotopy perturbation method (HPM). …”
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Visualization Techniques of Differentially Heated Lid-Driven Square Cavity by Vekamulla Narayana

“…The simulated results (100 ≤ Re ≤ 1000 and 0.001 ≤ Ri ≤ 10) are validated with previous results in the literature. The convection differencing schemes, namely, UPWIND, QUICK, SUPERBEE, and SFCD, are discussed and are used to simulate the flow using the MPI code. …”
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Dirichlet problems with skew-symmetric drift terms by Boccardo, Lucio, Casado-Diaz, Juan, Orsina, Luigi

“…We prove existence of finite energy solutions for a linear Dirichlet problem with a drift and a convection term of the form $A\,E(x)\nabla u + \mathrm{div}(u\,E(x))$, with $A > 0$ and $E$ in $(L^{r}(\Omega ))^{N}$. …”
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A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model by N. H. Sweilam, Khloud R. Khater, Zafer M. Asker, Waleed Abdel Kareem

“…In this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. …”
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Piecewise Approximate Analytical Solutions of High-Order Singular Perturbation Problems with a Discontinuous Source Term by Essam R. El-Zahar

“…A reliable algorithm is presented to develop piecewise approximate analytical solutions of third- and fourth-order convection diffusion singular perturbation problems with a discontinuous source term. …”
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Stochastic 2D Incompressible Navier-Stokes Solver Using the Vorticity-Stream Function Formulation by Mohamed A. El-Beltagy, Mohamed I. Wafa

“…A second-order upwind scheme is used in the convection term for numerical stability and higher-order discretization. …”
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Fully Discrete Finite Element Approximation for the Stabilized Gauge-Uzawa Method to Solve the Boussinesq Equations by Jae-Hong Pyo

“…We conclude with numerical tests to check accuracy and physically relevant numerical simulations, the Bénard convection problem and the thermal driven cavity flow.…”
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Heat Transfer Analysis for Viscous Fluid Flow with the Newtonian Heating and Effect of Magnetic Force in a Rotating Regime by Rashid Ayub, Shahzad Ahmad, Muhammad Imran Asjad, Mushtaq Ahmad

“…In this article, an unsteady free convection flow of MHD viscous fluid over a vertical rotating plate with Newtonian heating and heat generation is analyzed. …”
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Asymptotic and numerical solutions for diffusion models for compounded risk reserves with dividend payments by S. Shao, C. L. Chang

“…After defining the process of conditional probability in finite time, martingale theory turns the nonlinear stochastic differential equation to a special class of boundary value problems defined by a parabolic equation with a nonsmooth coefficient of the convection term. Based on the behavior of the total income flow, asymptotic and numerical methods are used to solve the special class of diffusion equations which govern the conditional ruin probability over finite time.…”
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Variation and simulation of tomato transpiration in a greenhouse under different ventilation modes by Jiankun Ge, Sen Wang, Xuewen Gong, Yuhao Zhu, Zihui Yu, Yanbin Li

“…To address these challenges, this study refines the P-M model by incorporating resistance parameters specifically tailored to greenhouse convection regimes. Field experiments were conducted at the Xinxiang Integrated Experimental Base of the Chinese Academy of Agricultural Sciences in northern China from March to July in 2020 and 2021. …”
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A model of thermotherapy treatment for bladder cancer by Christoph Sadée, Eugene Kashdan

“…The model is based on the conductive Maxwell's equations used to simulate the therapy administration and Convection-Diffusion equation for incompressible fluid to study heat propagation through the bladder tissue. …”
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Finite volume schemes and Lax–Wendroff consistency by Eymard, Robert, Gallouët, Thierry, Herbin, Raphaele, Latché, Jean-Claude

“…We then state a Lax–Wendroff consistency result for convection operators on staggered grids (often used in fluid flow simulations), which illustrates a recent generalization of the flux consistency notion designed to cope with general discrete functions.…”
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Effective Thermal Conductivity of Open Cell Polyurethane Foam Based on the Fractal Theory by Kan Ankang, Han Houde

“…However, the total effective heat flux is the summation of the heat conduction by the solid phase and the gas in pores, the radiation, and the convection between gas and solid phase. Fractal mathematical equation of effective thermal conductivity is derived with fractal dimension and vacancy porosity in the cell body. …”
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The Evolutionary p(x)-Laplacian Equation with a Partial Boundary Value Condition by Huashui Zhan, Zhen Zhou

“…Consider a diffusion convection equation coming from the electrorheological fluids. …”
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