Dr Dipak Barman
@rgu.ac.in
Assistant Professor, Department of Mathematics
Rajiv Gandhi University
RESEARCH, TEACHING, or OTHER INTERESTS
Mathematics, Applied Mathematics, Computational Mathematics, Numerical Analysis
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
Dipak Barman and D. Srinivasacharya
Elsevier BV
Dipak Barman and D. Srinivasacharya
Elsevier BV
Dipak Barman and D. Srinivasacharya
Elsevier BV
Pankaj Barman, D. Srinivasachrya, and Dipak Barman
Springer Science and Business Media LLC
Darbhasayanam Srinivasacharya and Dipak Barman
Begell House
In this investigation, the influence of local thermal non-equilibrium (LTNE) on the onset of convection in a channel occupied with nanofluid was examined. The flow took place in the presence of a transverse magnetic field. The Buongiorno and two-field models (each independently signifying the fluid and particle phases) were used for the nanofluid and energy equation, respectively. A normal mode analysis was applied to obtain the eigenvalue problem for the disturbed state, which was solved using the Chebyshev spectral collocation technique. The effects of the governing parameters on the Rayleigh number and corresponding wavenumber are presented graphically. It was noticed that the concentration Rayleigh number, inter-phase heat transfer parameter, and modified diffusivity ratio had a destabilizing effect, while the modified thermal capacity ratio, thermal diffusivity ratio, Lewis number, and modified particle density increment had a stabilizing effect on the system.
Darbhasayanam Srinivasacharya and Dipak Barman
Begell House
D. Srinivasacharya and Dipak Barman
ASME International
Abstract The stability of nanofluid flow in a vertical channel packed with a porous medium is examined for the local thermal nonequilibrium state of the fluid, particle, and solid–matrix phases. The effects of Brownian motion along with thermophoresis are incorporated in the nanofluid model. The Darcy–Brinkman model for the flow in a porous medium and three-field model, each representing the fluid, particle, and solid–matrix phases separately, for the temperature is used. A normal mode analysis is used to obtain the eigenvalue problem for the perturbed state, which is then solved using the Chebyshev spectral collocation technique. The critical Rayleigh number and corresponding wavenumber are presented graphically for the effect of different local thermal nonequilibrium parameters. It is noticed that the influence of local thermal nonequilibrium (LTNE) parameters on convective instability is significant.
D. Srinivasacharya and Dipak Barman
Wiley
Darbhasayanam Srinivasacharya and Dipak Barman
Begell House
Dipak Barman and Darbhasayanam Srinivasacharya
Begell House
Srinivasacharya Darbhasayanam and Dipak Barman
Elsevier BV
Abstract The influence of the Soret parameter, variable gravity field and viscous dissipation on the stability of convection with double-diffusion in a porous layer saturated by a viscous fluid is considered numerically. The impact of vertical throughflow on stability is also studied. Linear, quadratic, cubic and exponential functions are taken into consideration for gravity force variation. To solve the eigenvalue problem numerically, bvp4c method has been employed. The results show that Lewis number, gravity variation parameter, and Soret parameter are delaying the onset of convection, while solutal Rayleigh number and viscous dissipation parameter are enhancing the onset of convection in the flow field. It is distinguished that the system is becoming more stable for the exponential variation of the gravity field and more unstable for cubic variation of gravity variation.
Dipak Barman and Darbhasayanam Srinivasacharya
Begell House