Membrane Transport of Nonelectrolyte Solutions in Concentration Polarization Conditions: Hr Form of the Kedem–Katchalsky–Peusner Equations by Kornelia M. Batko, Andrzej Ślęzak

“…For ψ = 0, we can observe nonconvective state, in which concentration Rayleigh number reaches the critical value RC = 1691.09, for ψ<0 is convective state with convection directed straight down and for ψ>0 is convective state with convection directed straight up.…”
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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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SIMULATION AND ANALYSIS ON THERMAL CHARACTERISTIC OF SPINDLE REDUCER BOX OF BORING AND MILLING MACHINING CENTER by WANG ChuanYang, LIU HaiHua, QIU DeYi

“…The thermal load was found by calculating the heat flow of the gear and the heat generated of bearing.The calculated heat convection coefficient was defined as the boundary condition. …”
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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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SIMULATION ANALYSIS OF A STEADY TEMPERATURE FIELD OF DOUBLE INVOLUTE GEAR DRIVE by FAN ZhiMin, WANG RuiXue, ZHOU WanFeng

“…Based on the theory of friction,heat transfer and gear meshing,the friction heat flux and convection coefficient of double involute gear were calculated,considering the heat energy of friction contact between teeth as heat source. …”
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Single-mode microwave heating for food science research: Understanding specific microwave effects and reliability concerns by Xidong Jiao, Haifeng Diao, Tianyi Liu, Bowen Yan, Xiangwei Tang, Daming Fan

“…Simulations and measurements disclosed notable temperature gradients within the heating system, which were also affected by the solvent volume and type. Abnormal convection led to increased temperatures in the upper solution layers, and this abnormal convection-induced higher temperature could affect the experimental outcomes in scientific research. …”
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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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Simulation Analysis and Experiment Study of the Fluid- solid Coupled Heat Transfer of Disc Brake by Zeng Hong, Su Guoying, Guo Chao, Wang Yanzhong

“…So,taking the coupling method to simulate brakes thermal conduction and heat convection is feasible.…”
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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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