Sayantan Majumder

RESEARCH, TEACHING, or OTHER INTERESTS

Applied Mathematics, Computational Mathematics, Discrete Mathematics and Combinatorics, Modeling and Simulation

Scopus Publications

Framing the influence of solar radiation over entropy generation in unsteady magnetized CNT nanofluid flow possessing variable thermal conductivity over a rotating sphere
Sayantan Majumder, Tanmoy Chakraborty, Prabir Kumar Kundu
Numerical Heat Transfer Part A Applications, 2026
The industrial and commercial applications of solar energy are expanding rapidly, making entropy optimization in solar energy-powered mechanical systems critical for improving the efficiency of energy-harnessing devices. This study investigates heat transfer and the unsteady flow of a magnetized CNT nanofluid with variable thermal conductivity over a rotating sphere under the influence of solar radiation. The similarity solutions of the leading system of non-linear PDEs are obtained numerically via bvp4c scheme after reverting into nonlinear ODEs. A comparative analysis is conducted between MWCNT and SWCNT nanofluids, with graphical representation of flow characteristics. The results reveal that reducing the flow acceleration parameter optimizes fluid friction irreversibility, while increasing the magnetic field parameter reduces total entropy production of the system. Moreover, a 10% hike in MWCNT and SWCNT concentration enhance the wall shear stress by 15.86% and 17.68% respectively in the perpendicular direction to the flow. Meanwhile, with the same hike in MWCNT and SWCNT concentration, the rate of heat transportation gets boosted by 7.59% and 9.98% respectively. Other upshots reveal that the thermal boundary layer growth escalates with the solar radiation parameter and the variable thermal conductivity parameter, also the rate of growth is quite faster for SWCNT nanofluid in comparison to SWCNT nanofluid. The comparisons with existing literature are also made, which showcase an excellent harmony between the results.
Taguchi analysis on heat transfer of triple diffusive flow of a nanofluid over a rotating sphere in presence of Hall current
Sayantan Majumder, Tanmoy Chakraborty, Prabir Kumar Kundu
Proceedings of the Institution of Mechanical Engineers Part N Journal of Nanomaterials Nanoengineering and Nanosystems, 2026
This work analyzes an unsteady triple-diffusive nanofluid flow on a spinning sphere under the influence of a time-dependent magnetic field and Hall current. Liquid hydrogen (H 2 (l)) and ammonia (NH 3 ) are considered as diffusive species to model practical cryogenic and chemical applications. The classical Fourier and Fick laws are generalized through the Cattaneo–Christov model, and the resulting nonlinear equations are solved using a similarity transformation and the bvp4c method in MATLAB. The Taguchi method is applied to optimize heat transfer performance. Results demonstrate that raising the magnetic parameter accelerates velocity in the x -direction but decelerates it in the z -direction, with the Hall current compounding these effects. The rotation parameter promotes thermal diffusion, causing faster cooling of the fluid. The ANOVA results show that the magnetic parameter M has a dominant impact (92.43%) to heat transmission whereas the thermal relaxation parameter β T has a minimal effect (0.04%). These findings highlight crucial control factors for optimizing magnetohydrodynamic nanofluid systems used in cryogenic, reactor and biomedical cooling applications. 2000 Mathematics Subject Classification: 76W05, 76V05
Generalized aspects of Fourier’s and Fick’s laws through Cattaneo–Christov model on nanofluid flow with multiple convective conditions and chemical reaction: a statistical approach
Tanmoy Chakraborty, Sayantan Majumder, Prabir Kumar Kundu
European Physical Journal Plus, 2024
Entropy generation in Casson nanofluid flow over a lubricated wall in the presence of induced magnetic field and activation energy
Tanmoy Chakraborty, Sayantan Majumder, Prabir Kumar Kundu
International Journal of Modelling and Simulation, 2024
The research on entropy generation in a mechanical system is quite imperative owing to its immense applications in the production of advanced cooling devices and medical appliances. The basic need on this research is how to optimize the irreversibilities within the systems and channelize that energy towards the benefit. This study elucidates the entropy generation analysis of a Casson nanofluid near a stagnation point over a lubricated vertical wall. A thin film of shear-thinning liquid with power law index of 0.5 is employed on the wall to ensure the lubrication. The effect of induced magnetic field and the chemical reaction stimulated by the activation energy is also incorporated within the flow. The non-linear PDEs of the substantive problem along with the compatible interfacial and boundary conditions are reverted into ODEs with the aid of suitable similarity transformation, and then cracked numerically using the sixth-order Runge Kutta method assisted with Nachtsheim–Swigert shooting practice. One of the significant findings reveals that the fluid friction irreversibilities in the entropy generation are diminished with the magnetic parameter and the Casson parameter, whereas the thermal irreversibility predominates over the total entropy generation for the escalating values of the activation energy parameter.

RECENT SCHOLAR PUBLICATIONS

Framing the influence of solar radiation over entropy generation in unsteady magnetized CNT nanofluid flow possessing variable thermal conductivity over a rotating sphere
S Majumder, T Chakraborty, PK Kundu
Numerical Heat Transfer, Part A: Applications 87 (1), 2543074 , 2026
2026
Citations: 2
Taguchi analysis on heat transfer of triple diffusive flow of a nanofluid over a rotating sphere in presence of Hall current
S Majumder, T Chakraborty, PK Kundu
Proceedings of the Institution of Mechanical Engineers, Part N: Journal of … , 2025
2025
Entropy generation in Casson nanofluid flow over a lubricated wall in the presence of induced magnetic field and activation energy
T Chakraborty, S Majumder, PK Kundu
International Journal of Modelling and Simulation, 1-23 , 2024
2024
Citations: 5
Generalized aspects of Fourier’s and Fick’s laws through Cattaneo–Christov model on nanofluid flow with multiple convective conditions and chemical reaction: a statistical approach
T Chakraborty, S Majumder, PK Kundu
The European Physical Journal Plus 139 (6), 1-21 , 2024
2024
Citations: 6

MOST CITED SCHOLAR PUBLICATIONS

Generalized aspects of Fourier’s and Fick’s laws through Cattaneo–Christov model on nanofluid flow with multiple convective conditions and chemical reaction: a statistical approach
T Chakraborty, S Majumder, PK Kundu
The European Physical Journal Plus 139 (6), 1-21 , 2024
2024
Citations: 6
Entropy generation in Casson nanofluid flow over a lubricated wall in the presence of induced magnetic field and activation energy
T Chakraborty, S Majumder, PK Kundu
International Journal of Modelling and Simulation, 1-23 , 2024
2024
Citations: 5
Framing the influence of solar radiation over entropy generation in unsteady magnetized CNT nanofluid flow possessing variable thermal conductivity over a rotating sphere
S Majumder, T Chakraborty, PK Kundu
Numerical Heat Transfer, Part A: Applications 87 (1), 2543074 , 2026
2026
Citations: 2
Taguchi analysis on heat transfer of triple diffusive flow of a nanofluid over a rotating sphere in presence of Hall current
S Majumder, T Chakraborty, PK Kundu
Proceedings of the Institution of Mechanical Engineers, Part N: Journal of … , 2025
2025