THE DESTABILIZING EFFECT OF BOUNDARY SLIP ON DOUBLE-DIFFUSIVE CONVECTION IN A FLUID LAYER WITH CHEMICAL REACTION UNDER VARIABLE GRAVITY FIELD

We explore the double-diffusive instability in a reactive fluid layer with velocity slip by supervising linear and nonlinear stability analyses. The linear analysis is performed with the help of normal mode technique; however, the nonlinear stability analysis is regulated using the energy technique. An investigation is made to analyze the effect of slip length and nonconstant gravity field on the stability of the system. The variation of critical Rayleigh numbers (Ra-L, Ra-E) and corresponding critical wave numbers (a(L), a(E)) against different physical parameters is presented graphically. The chemical reaction of first order was employed and found to have both stabilizing and destabilizing nature. The effect of gravity variation parameter 45 played an important role in controlling the convection. 'The thresholds of linear and nonlinear analyses were compared thus providing the region of subcritical instability. A Chebyshev pseudospectral technique is conducted to solve the eigenvalue problems obtained from linear and nonlinear stability analyses.