Dr Dipak Barman

Scopus Publications

Game-theoretic analysis of centralized and decentralized supply chain strategies with imperfect products and price-sensitive demand under trade credit
Shruti Mahato, Dipak Barman, Sujit Kumar De, Gour Chandra Mahata
Soft Computing, 2026
Convective instability analysis of bi-viscous Bingham fluid flow inside a horizontal porous channel under convective boundary conditions
Pankaj Barman, Dipak Barman, Ravi Ragoju, Dhananjay Yadav
European Physical Journal Plus, 2026
Onset of thermal convection in the Brinkman porous layer under local thermal non-equilibrium with gravity variation and viscous dissipation
Rekha Kumari, Dipak Barman, Prabal Datta
Physics of Fluids, 2025
This paper aims to study the commencement of convective motion in a Brinkman porous enclosure under local thermal non-equilibrium conditions, and how it is influenced by varying gravity fields, vertical throughflow, and viscous dissipation. Four types of gravity variation—linear, quadratic, cubic, and exponential—are considered, each characterized by the gravity variation parameter (λ). The upper and lower boundaries of the layer are maintained at a constant temperature. Applying the normal mode technique, the resulting eigenvalue problem was solved numerically. The stability characteristics are analyzed through graphs and tables, illustrating the effects of the throughflow parameter (Q), Darcy number (Da), viscous dissipation (Ge), interphase heat transfer parameter (H), and gravity variation parameter (λ). It is observed that the system tends toward local thermal equilibrium for both very high and very small values of the interphase heat transfer parameter. The gravity variation parameter, throughflow, and interphase heat transfer parameter enhance system stability, whereas the porosity-modified conductivity ratio promotes instability; however, for γ≥10, the effect of H becomes negligible. Among the four gravity variations, the exponential form provides the strongest stabilization, followed by linear, quadratic, and cubic variations. In the exponential case, the critical Rayleigh number (Rac) increases markedly from about 450 to nearly 3250 as λ rises from 0 to 1.5. In contrast, viscous dissipation contributes only marginally to instability; the maximum reduction of Rac is merely 1.11% when Ge increases from 0 to 1 under linear gravity variation.
Thermosolutal stability analysis of Brinkman porous layer under local thermal non-equilibrium situation in the presence of viscous dissipation
Dipak Barman, Pankaj Barman
Physics of Fluids, 2025
Accurately predicting local thermal non-equilibrium (LTNE) behavior between fluid and solid phases in weakly conducting, highly viscous flows is essential for numerous engineering applications, including electronic cooling and thermochemical energy storage systems. Motivated by these considerations, we investigate the instability mechanisms of double-diffusive convection influenced by viscous dissipation within a horizontal porous layer under LTNE conditions. A mathematical model is formulated wherein the momentum equation incorporates the Brinkman extension of Darcy's law to account for viscous effects. The thermal boundary conditions assume an adiabatic lower surface and a constant temperature upper surface. A linear stability analysis is conducted by introducing normal mode perturbations to the base state, resulting in an eigenvalue problem that is solved numerically. The study accounts for arbitrarily oriented oblique roll disturbances and reveals that the primary instability mode corresponds to longitudinal rolls (P=0 or δ=π/2), where the roll axis aligns with the primary flow direction. The onset of convection is characterized by determining the critical solutal Rayleigh number (Rc) and associated wavenumber (ac) for both longitudinal and oblique rolls. These results are illustrated graphically for varying values of the interphase heat transfer coefficient (H) and viscous dissipation parameter (ξ). It has been observed that the viscous dissipation parameter and the porosity-modified conductivity ratio exert a destabilizing influence, whereas the interphase heat transfer coefficient contributes to system stabilization over a certain intermediate range.
Thermosolutal convection of a bi-viscous Bingham fluid in a saturated porous medium with transverse magnetic field
Pankaj Barman, Dipak Barman, Kuppalapalle Vajravelu
Physics of Fluids, 2025
Application of a magnetic field to a convective fluid flow generates a Lorentz force, which typically acts to increase the hydrodynamic stability of the system. Stability in day-to-day applications is of immense importance. Hence, the primary objective of this study is to explore how a transverse magnetic field influences the thermosolutal convection of a bi-viscous Bingham fluid in a saturated porous layer. Additionally, the effects of vertical throughflow are considered. To thoroughly investigate the system's stability, both linear and nonlinear stability analyses are carried out. The normal mode technique is utilized to analyze linear stability, while the nonlinear stability is investigated through the well-established energy method. The eigenvalue problems arising from both stability analyses are numerically solved using the bvp4c (boundary value problem, 4th-order, collocation) routine in MATLAB (matrix laboratory). By minimizing the neutral stability curves for selected governing flow parameters, the critical Rayleigh numbers for both linear and nonlinear theories are obtained. The results obtained are presented graphically. The findings indicate that a transverse magnetic field postpones the onset of convection in the bi-viscous Bingham fluid, independent of vertical throughflow conditions.
Stability analysis of thermosolutal convection in a Brinkman porous layer in the presence of viscous dissipation
Dipak Barman, Binandita Barman, Kuppalapalle Vajravelu
Physics of Fluids, 2025
Since weakly conducting and highly viscous fluid flows are very common in petroleum and polymer chemical engineering processes, in this article, the significance of the Darcy number on the breakdown of a double-diffusive convection is investigated inside a long horizontal porous channel with the effects of viscous dissipation. It is assumed that the bottom wall of the channel is adiabatic, and the top wall is isothermal. The Brinkman-extended Darcy model is used in the momentum equation of the governing flow through the porous layer. In the stability analysis, arbitrarily oriented oblique roll disturbances are encountered. It is shown that the most significant instability is in the longitudinal rolls (when P=0 or δ=π/2), with the axis parallel to the main flow direction. The obtained eigenvalue problems for both the rolls have been solved by the bvp4c technique in MATLAB. The impacts of the viscous dissipation parameter (ξ) and the Darcy number (Da) on the instability mechanism are examined in addition to the controlling parameter, the solutal Rayleigh number R. Furthermore, the contribution of the Brinkman model is also discussed on the onset of convection for several values of the viscous dissipation parameter and the flow conditions close to the limiting situation of a clear fluid. It is observed that the Darcy number has a stabilizing effect, whereas the viscous dissipation destabilizes the flow.
Influence of vertical throughflow on the linear and nonlinear stability analyses of Rayleigh–Bénard convection in a biviscous Bingham fluid saturating a porous medium
Pankaj Barman, D. Srinivasachrya, Dipak Barman
European Physical Journal B, 2025
Unsteady MHD hybrid nanofluid flow over a convectively heated linear stretching cylinder with velocity slip: A comparative study
Susmay Nandi, Dipak Barman
International Journal of Modern Physics B, 2024
This paper provides a comparative numerical analysis of unsteady hybrid nanofluid ([Formula: see text]/H2O) and nanofluid (TiO2/H2O) flows through a permeable linear stretching cylinder placed in a porous medium has been presented in the presence of oblique Lorentz force. The flow regulating boundary layer equations has been governed due to the sway of the suction, viscous-Ohmic dissipation, heat source, thermal radiation and first-order velocity slip with imposing convective boundary conditions on the surface. The self-similar transformation has been employed to convert the governing coupled nonlinear PDEs into a set of ODEs and finally solved them numerically by fifth-order Runge–Kutta method with shooting technique. Finally, a comparative study has been made on the thickness of the momentum and thermal boundary layers due to the effect of governing parameters for simple and hybrid nanofluids. Further, a numerical observation on local skin friction and thermal-transport coefficients is presented with the help of tables. The result indicates that the progressiveness of the velocity profile reduces for the unsteadiness parameter, Hartree pressure gradient, velocity slip parameter, inclination parameter, porous medium parameter, magnetic parameter and suction parameter while improving for velocity ratio parameter and temperature profiles increases with Biot number, Eckert number, heat generation parameter and thermal radiation parameter, but decreases for Hartree pressure gradient and velocity ratio parameter. This work has found various applications in high-temperature and cooling processes, paints, conductive coatings, medicines, space technology, biosensors, conductive coatings and so on.
The role of local thermal non-equilibrium on the instability analysis in the presence of variable gravity field with throughflow
Dipak Barman, D. Srinivasacharya
Chinese Journal of Physics, 2023
Linear stability of longitudinal convective rolls in a non-Darcy porous layer filled with nanofluid due to viscous dissipation effect: A realistic approach
Dipak Barman, D. Srinivasacharya
Thermal Science and Engineering Progress, 2023
Effect of internal heat source on stability analysis of a highly permeable vertical porous channel filled with nanofluid
D. Barman
Journal of Engineering Mathematics, 2023
Effect of variable gravity field on the onset of convection in a Brinkman porous medium under convective boundary conditions
Dipak Barman, D. Srinivasacharya
International Communications in Heat and Mass Transfer, 2023
Linear and nonlinear stability analyses of double-diffusive convection in a porous layer due to magnetic field and throughflow effects
Pankaj Barman, D. Srinivasachrya, Dipak Barman
European Physical Journal Plus, 2023
The effect of local thermal non-equilibrium andmagnetic field on the stability in a vertical channel filled with nanofluid
Darbhasayanam Srinivasacharya, Dipak Barman
Special Topics and Reviews in Porous Media, 2023
Effect of Local Thermal Nonequilibrium on the Stability of the Flow in a Vertical Channel Filled with Nanofluid Saturated Porous Medium
D. Srinivasacharya, Dipak Barman
Journal of Heat Transfer, 2022
INFLUENCE OF MAGNETIC FIELD ON THE STABILITY OF DOUBLE DIFFUSIVE NANOFLUID CONVECTION IN A VERTICAL HOMOGENEOUS POROUS CHANNEL
Darbhasayanam Srinivasacharya, Dipak Barman
Journal of Porous Media, 2022
Linear stability of convection in a vertical channel filled with nanofluid saturated porous medium
D. Srinivasacharya, Dipak Barman
Heat Transfer, 2021
The variable gravity field and viscous dissipation effects on the double diffusive and Soret driven convective instability in a porous layer with throughflow
Srinivasacharya Darbhasayanam, Dipak Barman
International Communications in Heat and Mass Transfer, 2021
THE EFFECT OF CHANGEABLE GRAVITY FIELD ON THE STABILITY OF CONVECTION IN A POROUS LAYER FILLED WITH NANOFLUID: BRINKMAN MODEL
Darbhasayanam Srinivasacharya, Dipak Barman
Computational Thermal Sciences, 2021
The variable gravity field and viscous dissipation effects on the convective instability in a porous layer with throughflow: Brinkman model
Dipak Barman, Darbhasayanam Srinivasacharya
Journal of Porous Media, 2021
Stability of nanofluid flow in a vertical porous channel
Dipak Barman, Darbhasayanam Srinivasacharya
Special Topics and Reviews in Porous Media, 2020

RECENT SCHOLAR PUBLICATIONS

Convective instability analysis of bi-viscous Bingham fluid flow inside a horizontal porous channel under convective boundary conditions
P Barman, D Barman, R Ragoju, D Yadav
The European Physical Journal Plus 141 (5), 484 , 2026
2026
Onset of thermal convection in the Brinkman porous layer under local thermal non-equilibrium with gravity variation and viscous dissipation
R Kumari, D Barman, P Datta
Physics of Fluids 37 (11), 114117 , 2025
2025
Thermosolutal stability analysis of Brinkman porous layer under local thermal non-equilibrium situation in the presence of viscous dissipation
D Barman, P Barman
Physics of Fluids 37 (10), 104102 , 2025
2025
Citations: 1
Thermosolutal convection of a bi-viscous Bingham fluid in a saturated porous medium with transverse magnetic field
P Barman, D Barman, K Vajravelu
Physics of Fluids 37 (9), 093111 , 2025
2025
Citations: 6
Stability analysis of thermosolutal convection in a Brinkman porous layer in the presence of viscous dissipation
D Barman, B Barman, K Vajravelu
Physics of Fluids 37 (7), 073120 , 2025
2025
Citations: 5
Influence of vertical throughflow on the linear and nonlinear stability analyses of Rayleigh–Bénard convection in a biviscous Bingham fluid saturating a porous medium
P Barman, D Srinivasachrya, D Barman
The European Physical Journal B 98 (2), 32 , 2025
2025
Citations: 7
Unsteady MHD hybrid nanofluid flow over a convectively heated linear stretching cylinder with velocity slip: A comparative study
S Nandi, D Barman
International Journal of Modern Physics B 38 (21), 2450284 , 2024
2024
Citations: 6
The role of local thermal non-equilibrium on the instability analysis in the presence of variable gravity field with throughflow
D Barman, D Srinivasacharya
Chinese Journal of Physics 86, 332–343 , 2023
2023
Citations: 8
Linear stability of longitudinal convective rolls in a non-Darcy porous layer filled with nanofluid due to viscous dissipation effect: A realistic approach
D Barman, D Srinivasacharya
Thermal Science and Engineering Progress 43, 101942 , 2023
2023
Citations: 1
Effect of internal heat source on stability analysis of a highly permeable vertical porous channel filled with nanofluid
D Barman
Journal of Engineering Mathematics 140 (1), 11 , 2023
2023
Citations: 7
Effect of variable gravity field on the onset of convection in a Brinkman porous medium under convective boundary conditions
D Barman, D Srinivasacharya
International Communications in Heat and Mass Transfer 144, 106777 , 2023
2023
Citations: 12
Linear and nonlinear stability analyses of double-diffusive convection in a porous layer due to magnetic field and throughflow effects
P Barman, D Srinivasachrya, D Barman
The European Physical Journal Plus 138 (3), 277 , 2023
2023
Citations: 16
THE EFFECT OF LOCAL THERMAL NON-EQUILIBRIUM AND MAGNETIC FIELD ON THE STABILITY IN A VERTICAL CHANNEL FILLED WITH NANOFLUID
D Srinivasacharya, D Barman
Special Topics & Reviews in Porous Media: An International Journal 14 (1), 29-48 , 2023
2023
Citations: 1
Influence of magnetic field on the stability of double diffusive nanofluid convection in a vertical porous channel
D Srinivasacharya, D Barman
Journal of Porous Media 25 (9), 1-16 , 2022
2022
Citations: 7
Effect of Local Thermal Nonequilibrium on the Stability of the Flow in a Vertical Channel Filled With Nanofluid Saturated Porous Medium
D Srinivasacharya, D Barman
ASME Journal of Heat Transfer 144 (1), 014501 , 2022
2022
Citations: 6
Linear Stability Analysis of Viscous and Nanofluid Flows in Horizontal/Vertical Channels
D Barman
2021
THE EFFECT OF CHANGEABLE GRAVITY FIELD ON THE STABILITY OF CONVECTION IN A POROUS LAYER FILLED WITH NANOFLUID: BRINKMAN MODEL
D Srinivasacharya, D Barman
Computational Thermal Sciences 13 (6), 1-17 , 2021
2021
Citations: 3
THE VARIABLE GRAVITY FIELD AND VISCOUS DISSIPATION EFFECTS ON THE CONVECTIVE INSTABILITY IN A POROUS LAYER WITH THROUGHFLOW: BRINKMAN MODEL
D Barman, D Srinivasacharya
Journal of Porous Media 24 (6), 1-13 , 2021
2021
Citations: 17
Linear stability of convection in a vertical channel filled with nanofluid saturated porous medium
D Srinivasacharya, D Barman
Heat Transfer 50 (4), 3220-3239 , 2021
2021
Citations: 10
The variable gravity field and viscous dissipation effects on the double diffusive and Soret driven convective instability in a porous layer with throughflow
D Srinivasacharya, D Barman
International Communications in Heat and Mass Transfer 120, 105050 , 2021
2021
Citations: 43

MOST CITED SCHOLAR PUBLICATIONS

The variable gravity field and viscous dissipation effects on the double diffusive and Soret driven convective instability in a porous layer with throughflow
D Srinivasacharya, D Barman
International Communications in Heat and Mass Transfer 120, 105050 , 2021
2021
Citations: 43
THE VARIABLE GRAVITY FIELD AND VISCOUS DISSIPATION EFFECTS ON THE CONVECTIVE INSTABILITY IN A POROUS LAYER WITH THROUGHFLOW: BRINKMAN MODEL
D Barman, D Srinivasacharya
Journal of Porous Media 24 (6), 1-13 , 2021
2021
Citations: 17
Linear and nonlinear stability analyses of double-diffusive convection in a porous layer due to magnetic field and throughflow effects
P Barman, D Srinivasachrya, D Barman
The European Physical Journal Plus 138 (3), 277 , 2023
2023
Citations: 16
Effect of variable gravity field on the onset of convection in a Brinkman porous medium under convective boundary conditions
D Barman, D Srinivasacharya
International Communications in Heat and Mass Transfer 144, 106777 , 2023
2023
Citations: 12
Linear stability of convection in a vertical channel filled with nanofluid saturated porous medium
D Srinivasacharya, D Barman
Heat Transfer 50 (4), 3220-3239 , 2021
2021
Citations: 10
The role of local thermal non-equilibrium on the instability analysis in the presence of variable gravity field with throughflow
D Barman, D Srinivasacharya
Chinese Journal of Physics 86, 332–343 , 2023
2023
Citations: 8
Influence of vertical throughflow on the linear and nonlinear stability analyses of Rayleigh–Bénard convection in a biviscous Bingham fluid saturating a porous medium
P Barman, D Srinivasachrya, D Barman
The European Physical Journal B 98 (2), 32 , 2025
2025
Citations: 7
Effect of internal heat source on stability analysis of a highly permeable vertical porous channel filled with nanofluid
D Barman
Journal of Engineering Mathematics 140 (1), 11 , 2023
2023
Citations: 7
Influence of magnetic field on the stability of double diffusive nanofluid convection in a vertical porous channel
D Srinivasacharya, D Barman
Journal of Porous Media 25 (9), 1-16 , 2022
2022
Citations: 7
Thermosolutal convection of a bi-viscous Bingham fluid in a saturated porous medium with transverse magnetic field
P Barman, D Barman, K Vajravelu
Physics of Fluids 37 (9), 093111 , 2025
2025
Citations: 6
Unsteady MHD hybrid nanofluid flow over a convectively heated linear stretching cylinder with velocity slip: A comparative study
S Nandi, D Barman
International Journal of Modern Physics B 38 (21), 2450284 , 2024
2024
Citations: 6
Effect of Local Thermal Nonequilibrium on the Stability of the Flow in a Vertical Channel Filled With Nanofluid Saturated Porous Medium
D Srinivasacharya, D Barman
ASME Journal of Heat Transfer 144 (1), 014501 , 2022
2022
Citations: 6
Stability analysis of thermosolutal convection in a Brinkman porous layer in the presence of viscous dissipation
D Barman, B Barman, K Vajravelu
Physics of Fluids 37 (7), 073120 , 2025
2025
Citations: 5
THE EFFECT OF CHANGEABLE GRAVITY FIELD ON THE STABILITY OF CONVECTION IN A POROUS LAYER FILLED WITH NANOFLUID: BRINKMAN MODEL
D Srinivasacharya, D Barman
Computational Thermal Sciences 13 (6), 1-17 , 2021
2021
Citations: 3
Thermosolutal stability analysis of Brinkman porous layer under local thermal non-equilibrium situation in the presence of viscous dissipation
D Barman, P Barman
Physics of Fluids 37 (10), 104102 , 2025
2025
Citations: 1
Linear stability of longitudinal convective rolls in a non-Darcy porous layer filled with nanofluid due to viscous dissipation effect: A realistic approach
D Barman, D Srinivasacharya
Thermal Science and Engineering Progress 43, 101942 , 2023
2023
Citations: 1
THE EFFECT OF LOCAL THERMAL NON-EQUILIBRIUM AND MAGNETIC FIELD ON THE STABILITY IN A VERTICAL CHANNEL FILLED WITH NANOFLUID
D Srinivasacharya, D Barman
Special Topics & Reviews in Porous Media: An International Journal 14 (1), 29-48 , 2023
2023
Citations: 1
STABILITY OF NANOFLUID FLOW IN A VERTICAL POROUS CHANNEL
D Barman, D Srinivasacharya
Special Topics & Reviews in Porous Media: An International Journal 11 (5 … , 2020
2020
Citations: 1
Convective instability analysis of bi-viscous Bingham fluid flow inside a horizontal porous channel under convective boundary conditions
P Barman, D Barman, R Ragoju, D Yadav
The European Physical Journal Plus 141 (5), 484 , 2026
2026
Onset of thermal convection in the Brinkman porous layer under local thermal non-equilibrium with gravity variation and viscous dissipation
R Kumari, D Barman, P Datta
Physics of Fluids 37 (11), 114117 , 2025
2025

Dr Dipak Barman

RESEARCH, TEACHING, or OTHER INTERESTS

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

MOST CITED SCHOLAR PUBLICATIONS