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Electrohydrodynamic Instability of a Rotating Walters’ (model B’) Fluid in a Porous Medium: Brinkman model

root-mean-square value of electric field. Then, the equations of conservation of mass, momentum and thermal energy for Walters’ (model B’) viscoelastic fluid in a Darcy-Brinkman-Boussinesq (Chandrasekhar [ 4 ], Takashima [ 16 ], Shivakumara [ 22 ], and Rana et al . [ 23 , 24 ]) system are: ∇ ⋅ q = 0 , $$\begin{array}{} \displaystyle \nabla\cdot \mathbf{q}=0, \end{array}$$ (1) ρ φ ∂ q ∂ t + 1 ε ( q ⋅ ∇ ) q = − ∇ P + ρ g + μ ~ ∇ 2 q − 1 k 1 μ − μ ′ ∂ ∂ t q + 2 ρ ( q × Ω ) − 1 2 ( E ⋅ E ) ∇ K , $$\begin{array}{} \displaystyle \frac

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