The Effect of Thermal Modulation on Double Diffusive Convection in the Presence of Applied Magnetic Field and Internal Heat Source

Abstract

The investigation of thermal modulation on double-diffusive stationary convection in the presence of an applied magnetic field and internal heating is carried out. A weakly nonlinear stability analysis has been performed using the finite-amplitude Ginzburg-Landau model. This finite amplitude of convection is obtained at the third order of the system. The study considers three different forms of temperature modulations. OPM-out of phase modulation, LBMO-lower boundary modulation, IPM-in phase modulation. The finite-amplitude is a function of amplitude δT, frequency ω and the phase difference θ. The effects of δT and ω on heat/mass transports have been analyzed and depicted graphically. The study shows that heat/mass transports can be controlled effectively by thermal modulation. Further, it is found that the internal Rayleigh number Ri enhances heat transfer and reduces the mass transfer in the system.

Study of weakly nonlinear double‐diffusive magnetoconvection under concentration modulation

“…They have considered time‐periodic boundary conditions, like, g‐jitter effect, temperature modulation, rotational modulation, and magnetic modulation to examine their effects on magnetoconvection. Some of the researchers who have investigated the impact of different boundary conditions on magnetoconvection are Siddheshwar and Pranesh, 16 Aniss et al, 17 Bhadauria and Srivastava, 18 Kumar and Singh, 19 Bhadauria and Kiran, 20 Keshri et al, 21 Gupta et al, 22 and Kushawaha et al, 23 Manjula et al, 24 Khan et al, 25–29 Makinde and Mhone, 30 Makinde, 31 and Alam et al 32 …”

“…They have considered time-periodic boundary conditions, like, g-jitter effect, temperature modulation, rotational modulation, and magnetic modulation to examine their effects on magnetoconvection. Some of the researchers who have investigated the impact of different boundary conditions on magnetoconvection are Siddheshwar and Pranesh, 16 Aniss et al, 17 Bhadauria and Srivastava, 18 Kumar and Singh, 19 Bhadauria and Kiran, 20 Keshri et al, 21 Gupta et al, 22 and Kushawaha et al, 23 Manjula et al, 24 Khan et al, [25][26][27][28][29] Makinde and Mhone, 30 Makinde, 31 and Alam et al 32 The literature documented above deals with two diffusing components under various physical situations, like, fluid layers, porous medium, Brinkman-Darcy porous medium, and so forth, and different boundary conditions. All of them considered the solutal boundary conditions as a function of spatial coordinates only.…”