Effect of Gravity Modulation on the Stability Analysis of Viscoelastic Dielectric Liquids
DOI:
https://doi.org/10.37934/cfdl.15.11.151168Keywords:
Viscoelastic Dielectric liquids, Gravity modulation, ConvectionAbstract
The linear and non-linear analysis of convection in viscoelastic dielectric liquids is presented in the paper. The viscoelastic equation of state is the upper convected Jeffrey model, also known as Oldroyd-B model. The amplitude equations which are the Khayat-Lorenz model for the dielectric liquids is derived with the aid of minimal mode double Fourier series. A modified method of Venezian is applied on the linearized amplitude equations to obtain a correction to the threshold eigenvalues that determine the onset of convection. The non- linear amplitude equations are non-autonomous due to modulation of gravity. Hence the numerical computation is performed using the “ode” function in Scilab, a free and open-source software which uses the LSODA solver. The heat transfer is quantified using the average Nusselt number where the average is computed using Simpsons (3/8)^th rule. The effect of different parameters and viscoelastic models on heat transfer is discussed.
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