Journal of Applied Fluid MechanicsJAFMMechanical Engineeringhttp://jafmonline.net1admin173535721735364510.29252/jafmenjalali1397610gregorian201891115online1fulltexten10.29252/jafm.11.05.28459Study of Heat and Mass Transport in Bénard-Darcy Convection with G-Jitter and Variable Viscosity Liquids in a Porous Layer with Internal Heat Source generalResearchIn this research article, we investigated the weakly non-linear effect of gravity modulation for the temperature dependent viscous ﬂuid in a horizontal porous layer in the presence of internal heat source. We use power series expansion in terms of the amplitude of gravity modulation, which is considered to be small for double-diffusive convection in porous media. We graphically show the effect of internal heat source, solute Rayleigh number, Lewis number, Vadász number, thermo-rheological parameter, the amplitude of gravity modulation, the frequency of modulation on the heat and mass transfer using Ginzburg-Landau equation. The effect of gravity modulation is found signiﬁcant and is more effective for the low values of frequency of modulation. Ginzburg-Landau equation; Gravity modulation; Porous media; Temperature dependent viscosity; Double-diffusive convection; Weakly non-linear stability. 12171229http://jafmonline.net/JournalArchive/download?file_ID=46613&issue_ID=250A.Srivastavasrivastavaalok0311@gmail.com`NoDepartment of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India`

`B. S.Bhadauriamathsbsb@yahoo.com``NoDepartment of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, India`

`A. K.Singhashok@bhu.ac.in``NoDepartment of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India`