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Double diffusive magneto-convection in viscoelastic fluids

机译:粘弹性流体中的双扩散磁对流

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摘要

We investigate the effect of an external magnetic field on the heat and mass transport in double diffusive convection in a viscoelastic fluid layer. The Oldroyd-B constitutive equation is used to model viscoelas-ticity. Nonlinear stability analysis is carried out using a minimal representation of a Fourier series consisting of two terms. A novel transformation due to Siddheshwar et al. [25] is used in the momentum equation in deriving the non-autonomous generalized Lorenz model. The generalized Lorenz system has been solved numerically using the Runge-Kutta-Fehlberg (RKF45) method to quantify the heat and mass transport. It is established that the applied magnetic field has a stabilizing effect, hence reducing heat and mass transport.
机译:我们研究了粘弹性流体层中双扩散对流中外部磁场对热量和质量输运的影响。 Oldroyd-B本构方程用于模拟粘弹性。非线性稳定性分析是使用包含两个项的傅立叶级数的最小表示来进行的。 Siddheshwar等人提出的一种新颖的转变。 [25]在动量方程中用于推导非自治广义Lorenz模型。使用Runge-Kutta-Fehlberg(RKF45)方法对广义Lorenz系统进行了数值求解,以量化热量和质量传递。已经确定,所施加的磁场具有稳定作用,因此减少了热量和质量传递。

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