بررسی تأثیر میدان مغناطیسی تصادفی اولیه بر مشخصات اختلاطی یک میدان جریان مغشوش همسانگرد دوبعدی

[1]           Molokov S, Moreau R, Moffatt K, Moffatt K. The Birth and Adolescence of MHD Turbulence. Magnetohydrodynamics: Historical Evolution and Trends. 2007:213-22.

[2]           Alfvén H. Existence of electromagnetic-hydrodynamic waves. Nature. 1942;150(3805):405-6.

[3]           Batchelor GK. On the spontaneous magnetic field in a conducting liquid in turbulent motion. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 1950;201(1066):405-16.

[4]           Pouquet A. On two-dimensional magnetohydrodynamic turbulence. Journal of Fluid Mechanics. 1978;88(1):1-16.

[5]           Orszag SA, Tang C-M. Small-scale structure of two-dimensional magnetohydrodynamic turbulence. Journal of Fluid Mechanics. 1979;90(1):129-43.

[6]           Shebalin JV, Matthaeus WH, Montgomery D. Anisotropy in MHD turbulence due to a mean magnetic field. Journal of plasma physics. 1983;29(3):525-47.

[7]           Ishizawa A, Hattori Y. Large coherent structure formation by magnetic stretching term in two-dimensional mhd turbulence. arXiv preprint chao-dyn/9810036. 1998.

[8]           Alexakis A, Mininni PD, Pouquet A. Turbulent cascades, transfer, and scale interactions in magnetohydrodynamics. New Journal of Physics. 2007;9(8):298.

[9]           Carati D, Debliquy O, Knaepen B, Teaca B, Verma M. Energy transfers in forced MHD turbulence. Journal of Turbulence. 2006(7):N51.

[10]         Sundar S, Verma MK, Alexakis A, Chatterjee AG. Dynamic anisotropy in MHD turbulence induced by mean magnetic field. Physics of Plasmas. 2017;24(2).

[11]         Zikanov O, Thess A. Direct numerical simulation as a tool for understanding MHD liquid metal turbulence. Applied Mathematical Modelling. 2004;28(1):1-13.

[12]         Banerjee D, Pandit R. Two-dimensional magnetohydrodynamic turbulence with large and small energy-injection length scales. Physics of Fluids. 2019;31(6).

[13]         Friedrich J. Probability density functions in homogeneous and isotropic magneto-hydrodynamic turbulence. Atmosphere. 2020;11(4):382.

[14]         Sun H, Yang Y, Lu Q, Lu S, Wan M, Wang R. Physical regimes of two-dimensional MHD turbulent reconnection in different Lundquist numbers. The Astrophysical Journal. 2022;926(1):97.

[15]         Greif C, Li D, Schötzau D, Wei X. A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics. Computer Methods in Applied Mechanics and Engineering. 2010;199(45-48):2840-55.

[16]         Kang H-J, Choi B. Development of the MHD micropump with mixing function. Sensors and Actuators A: Physical. 2011;165(2):439-45.

[17]         Schuster E, Luo L, Krstić M. MHD channel flow control in 2D: Mixing enhancement by boundary feedback. Automatica. 2008;44(10):2498-507.

[18]         Yuan F, Isaac KM. A study of MHD-based chaotic advection to enhance mixing in microfluidics using transient three dimensional CFD simulations. Sensors and actuators B: Chemical. 2017;238:226-38.

[19]         Lemoine M. Particle acceleration in strong MHD turbulence. Physical Review D. 2021;104(6):063020.

[20]         Pratt J, Busse A, Müller W-C. Reynolds number dependence of Lagrangian dispersion in direct numerical simulations of anisotropic magnetohydrodynamic turbulence. Journal of Fluid Mechanics. 2022;944:A36.

[21]         Alberti T, Carbone V. Lagrangian Particle Dispersion in a Poor Man’s Magnetohydrodynamic Turbulence Model. Fractal and Fractional. 2023;7(9):662.

[22]         Chitsaz M, Fathali M. Impact of an initial random magnetic field on the evolution of two-dimensional shearless mixing layers. Physical Review E. 2019;100(4):043106.

[23]         Pouransari Z. Passive scalar small-scale anisotropy and mixing characteristics in magnetohydrodynamic turbulent channel flow. Physics of Fluids. 2023;35(10).

[24]         Davidson PA. Turbulence in rotating, stratified and electrically conducting fluids: Cambridge University Press; 2013.

[25]         Lesieur M, Herring J. Diffusion of a passive scalar in two-dimensional turbulence. Journal of Fluid Mechanics. 1985;161:77-95.

[26]         Beta C, Schneider K, Farge M, Bockhorn H. Numerical study of mixing of passive and reactive scalars in two-dimensional turbulent flows using orthogonal wavelet filtering. Chemical engineering science. 2003;58(8):1463-77.

[27]         Davidson PA. Turbulence: an introduction for scientists and engineers: Oxford university press; 2015.

[28]         Fathali M. Numerical study of the impact of the initial turbulent integral length scale on the dynamics of a two dimensional shear-free turbulent mixing layer. Modares Mechanical Engineering. 2014;14(6):113-23.

[29]         Orszag SA, Patterson Jr G. Numerical simulation of three-dimensional homogeneous isotropic turbulence. Physical review letters. 1972;28(2):76.

[30]         Fox DG, Orszag SA. Pseudospectral approximation to two-dimensional turbulence. Journal of Computational Physics. 1973;11(4):612-9.

[31]         Verma MK. Energy transfers in fluid flows: multiscale and spectral perspectives: Cambridge University Press; 2019.

[32]         Tennekes H, Lumley JL. A first course in turbulence: MIT press; 1972.

[33]         Fathali M, Deshiri MK. Sensitivity of the two-dimensional shearless mixing layer to the initial turbulent kinetic energy and integral length scale. Physical Review E. 2016;93(4):043122.