MHD, Nanofluid, Numerical Simulation, Heat and mass transfer
18
Scopus Publications
453
Scholar Citations
11
Scholar h-index
12
Scholar i10-index
Scopus Publications
Impact of porosity and permeability variations on Darcy–Forchheimer hybrid nano-fluid flow over a rotating disk with activation-energy Nilangshu Acharya, Pinaki Ranjan Duari, Shib Sankar Giri, Kalidas Das ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2026 In the current study, the flow characteristics of a mononano‐fluid () and a hybrid nanofluid () driven by a rotating disk revolving at a constant angular velocity are analyzed. The distribution of flow consists of nonlinear thermal radiation, heat absorption or generation, binary chemical reactions, and thermal stratification. The leading structure of governing PDEs of flow is changed into ordinary boundary value problem (BVP) by applying suitable similarity transformations. The fifth‐order Runge–Kutta–Felberg (RKF) method with shooting methodology is then employed to solve numerically the subsequent structure of equations. The charts and graphs are employed to show the comprehensive analysis of findings. One of the intriguing findings shows that as variable porosity and variable permeability parameters increase, the slope of the fluid's velocity along with the radial axis, as well as the rotational velocity for both liquids are simultaneously decreasing and increasing, respectively. However, for temperature profiles, opposite effects are viewed. Based on the statistical analysis presented in this article, we can infer that the correlation coefficients for four major physical quantities, , , , and , are quite significant. Consequently, there is a strong correlation between the parameters and the physical characteristics. Our current study is significant as it applies the classical rotating disk flow to contemporary hybrid nanofluids that have a variety of chemical and thermal impacts.
Revealing the dynamic response of Prandtl–Eyring's ternary hybrid nanofluidic flow with Arrhenius activation energy: A model incorporating correlation coefficients and probable errors Pinaki Ranjan Duari, Kalidas Das ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2025 The study of ternary hybrid nanofluids is a fascinating area of research that explores the unique properties and potential applications of combining three distinct solid components within a conventional fluid to enhance thermal efficiency. These nanofluids hold immense potential for improving heat transfer properties for various industrial applications. Their enhanced cooling abilities, coupled with their suitability for energy storage systems, make them a valuable tool for industries seeking to improve their cooling systems, save energy, and enhance cooling mechanisms. The effects of the nanoparticle shape factor on the steady two‐dimensional hydrothermal flow of an incompressible MHD Prandtl–Eyring ternary hybrid nanofluid are examined in this research. All aspects of the process are considered during the computation, including activation energy effects and binary chemical reactions. Our governing equations have been turned into ordinary differential equations (ODEs) using similarity transformations, which we can solve numerically by using the Runge–Kutta–Fehlberg method. The investigation was carried out using graphs, charts, streamlines, and contour diagrams to illustrate the significant findings. To ascertain the flow factors related to velocity, temperature, and concentration, a parametric estimate method was employed. Utilized statistical analyses include regression, correlation, and probable error. Several amazing correlation coefficients are observed, and there is a strong association between the parameters and the physical features. The concentration field grows with a surge in activation energy, while the concentration of nanoparticles drops with an increase in chemical reaction. The selection of ternary hybrid nanofluids can significantly impact the performance of systems involved in steam generation, cooling, and heating due to their enhanced thermal properties. This study bridges a critical gap in understanding the interplay of non‐Newtonian behaviors and advanced nanofluid systems, providing a robust framework for future technological advancements in fluid dynamics and thermal sciences.
Active- passive controls on magneto CNTs nanofluid flow over a wavy rotating disc Pinaki Ranjan Duari, Kalidas Das International Journal of Modelling and Simulation, 2025 The target of this article is to perceive the effects of the externally applied magnetic force on an unsteady nanofluid flow in the occurrence of carbon nanotubes with water as a base fluid. The flow is caused by a rotating and wavy spinning permeable disk where the disk is continuously moving vertically upward and downward. 3D nanofluid flow is created by a spinning and vertically moving disk. A study of the passive and active mass flux of nanoparticles is presented in this work. The problem is solved by the Runge–Kutta–Fehlberg 45 (RKF 45) method in the mathematical software MAPLE. The outcomes of the present work are compared to the results communicated previously. The physical measures are exemplified pictorially in thermal and concentration fields. 2D contour phenomenon and 3D flow conceptions for some pertinent parameters−1.5≤β≤1.5,0≤M≤1.4,0.1≤Nb≤0.7,0.1≤Nt≤0.7,−0.3≤S≤1are also sketched. There is a slight difference in temperature and concentration profiles between MWCNTs and SWCNTs. It is detected that in the presence of active and passive control, the thermal energy profile shows decreasing behaviour by the fluctuating parameter; however, the concentration profile exhibits dual nature under passive control.
Flow features of radiating ternary hybrid nanofluid flow under the influence of induced magnetic field and nanoparticle shapes Pinaki Ranjan Duari, Kalidas Das Heat Exchanger Technologies for Sustainable Renewable Energy Systems, 2025 Ternary hybrid nanofluids have superior hydrothermal performance compared to other types of nanofluids, primarily due to the presence of three distinct nanoparticles. It indeed holds significant promise across various industries due to its enhanced thermal conductivity and stability compared to classical fluids. The study investigated the flow dynamics and properties of heat transmission of ternary hybrid nanofluids across a wedge-shaped domain. By incorporating key factors such as nanoparticle shape, electromagnetic fields, and radiative heat, the study aims to provide an extensive overview understanding of how these components influence the entire thermal effectiveness. A ternary hybrid nanofluid consisting of silver nanoparticles, magnesium oxide nanoparticles, and iron oxide nanoparticles dispersed in water as the base fluid indeed has the potential to exhibit enhanced electrical and thermal characteristics due to the unique properties of each of the nanoparticles involved. The procedure outlined entails utilizing similarity techniques to turn a system's governing partial differential equations (PDEs) into ordinary differential equations (ODEs) and solving numerically via the Rk-4 method. The simulation is run using MAPLE-17 software. The investigation is illustrated with graphs, streamlines, and contour diagrams to illustrate the significant outcomes. The decreasing function of velocity determines the induced magnetic parameter. A rise in parametric assessment heat transfer in response to solar radiation. The higher magnitude of heat transport explored by ternary hybrid nanofluids makes them the best candidate for heat transmission.
Computational outline on heat transfer analysis and entropy generation in hydromagnetic squeezing slip flow of hybrid nanofluid Pinaki Ranjan Duari, Kalidas Das Multidiscipline Modeling in Materials and Structures, 2024 PurposeThe current work investigates an unsteady squeezed flow of hybrid-nanofluid between two parallel plates in occurrence with a uniform transverse magnetic field. Water is used as base fluid mixed with Graphene Oxide (GO) and Copper (Cu) nanoparticles. The flow considered here is under slip boundary conditions.Design/methodology/approachThe governing PDEs are transmuted into ODEs by applying an appropriate similarity transformation and then solved numerically using the 4th order R-K method with shooting technique. Graphical illustrations for velocity, temperature, entropy generation (NG), Bejan number (Be), streamline etc. are presented and discussed in detail from the physical point of view. The nature of the Nusselt number is also studied numerically through contour plots for different flow parameters.FindingsThere is no funding obtained for the research work.Social implicationsThis kind of study may be used in various fields including polymer processing, lubrication apparatus, compression including hydrodynamical machines compression, food processing etc.Originality/valueIt is observed that very little investigation has yet been made about the movement of hybrid nanofluid between two analogous plates.
Effects of nanoparticle shape factor on radiative ternary hybrid nanofluid flow over a wedge in presence of induced magnetic field Kalidas Das, Pinaki Ranjan Duari Multidiscipline Modeling in Materials and Structures, 2024 PurposeSeveral graphs, streamlines, isotherms and 3D plots are illustrated to enlighten the noteworthy fallouts of the investigation. Embedding flow factors for velocity, induced magnetic field and temperature have been determined using parametric analysis.Design/methodology/approachTernary hybrid nanofluids has outstanding hydrothermal performance compared to classical mono nanofluids and hybrid nanofluids owing to the presence of triple tiny metallic particles. Ternary hybrid nanofluids are considered as most promising candidates in solar energy, heat exchangers, electronics cooling, automotive cooling, nuclear reactors, automobile, aerospace, biomedical devices, food processing etc. In this work, a ternary hybrid nanofluid flow that contains metallic nanoparticles over a wedge under the prevalence of solar radiating heat, induced magnetic field and the shape factor of nanoparticles is considered. A ternary hybrid nanofluid is synthesized by dispersing iron oxide (Fe3O4), silver (Ag) and magnesium oxide (MgO) nanoparticles in a water (H2O) base fluid. By employing similarity transformations, we can convert the governing equations into ordinary differential equations and then solve numerically by using the Runge–Kutta–Fehlberg approach.FindingsThere is no fund for the research work.Social implicationsThis kind of study may be used to improve the performance of solar collectors, solar energy and solar cells.Originality/valueThis investigation unfolds the hydrothermal changes of radiative water-based Fe3O4-Ag-MgO-H2O ternary hybrid nanofluidic transport past a static and moving wedge in the presence of solar radiating heating and induced magnetic fields. The shape factor of nanoparticles has been considered in this study.
Magnetohydrodynamic flow of ternary hybrid nanofluids over a wedge Influence of nanoparticle shape factor in solar energy applications Pinaki Ranjan Duari, Kalidas Das Nanofluids Technology for Thermal Sciences and Engineering Research Development and Applications, 2024 The use of ternary hybrid nanofluids, with the presence of triple tiny metallic particles, is suggested to provide outstanding hydrothermal performance compared to classical mono-nanofluids and hybrid nanofluids. The combination of different types of nanoparticles in ternary hybrids can lead to synergistic effects, potentially enhancing various thermal and rheological properties. In recent studies, Prandtl-Eyring ternary hybrid nanofluids (P-ETHNF) have been studied for their heat transfer properties. The flow and thermal transport characteristics of P-ETHNF are evaluated when ternary hybrid nanofluids are subjected to a wedge under solar illumination. Additionally, hydrodynamic forces, shape factors, magnetic fields, convective heat transfer, and thermal conductivity will also be assessed. The governing equations can be transformed into ordinary differential equations using similarity transformations, which can then be solved numerically by Runge-Kutta-Fehlberg. This study examines iron oxide (Fe2O3), silver (Ag), and aluminum oxide (Al2O3) as nano-solid particles with water (H2O) as the base fluid. To illustrate important results, we can use graphs to illustrate flow velocity, temperature, drag force, and Nusselt amount. The results of this study revealed significant increases in heat transfer rates of the P-ETHNF ((Fe2O3-Ag-Al2O3/H2O) when compared to traditional nanofluids ((Fe2O3/H2O) and hybrid nanofluids (Fe2O3-Ag/H2O). In Prandtl-Eyring variables (A1 and A2), flow velocity declines but heat transfer swells.
Influence of variable characteristic of the porous medium on unsteady nanofluid flow with melting heat transference Debasish Gorai, Pinaki Ranjan Duari, Kalidas Das Numerical Heat Transfer Part A Applications, 2024 The current article addressed an unsteady motion of nanofluid due to a rotating stretchable disk. Darcy–Forchheimer porous field is taken in this study with adjustable porosity and variable permeability. Also, nonlinear thermally radiative and melting heat mechanisms are considered. Leading equations are changed into dissoluble form by some proper similarity functions and the solutions are attained via the Runge–Kutta method of order 4 in conjunction with the shooting process. The power of main parameters on general profiles, i.e., radial velocity, cross-radial velocity, temperature, concentration, streamline, isotherms, and so forth are obtained through pictures. Also, the nature of engineering coefficients in the lower boundary is calculated through three dimensional plots. It is detected that variable porosity and variable permeability have opposite behavior in every situation. Melting parameter upsurges velocity and reduces temperature of the fluid.
Framing the features of electro-osmosis-modulated EMHD Casson fluid flow over stretchy surface: effect of non-linear thermal radiation and multifarious slip N Acharya, PR Duari, SS Giri, K Das International Journal of Ambient Energy 47 (1), 2609590 , 2026 2026 Citations: 2
Unfolding flow features of MHD hybrid nanofluid (Ag–Al 2 O 3 –H 2 O) and mono nanofluid (Al 2 O 3 –H 2 O) flow over exponentially expanded sheet soaked in a … T Chakraborty, PR Duari, N Acharya Waves in Random and Complex Media 36 (2), 2510-2537 , 2026 2026 Citations: 13
Impact of porosity and permeability variations on Darcy–Forchheimer hybrid nano‐fluid flow over a rotating disk with activation‐energy N Acharya, PR Duari, SS Giri, K Das ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2026 2026
Flow features of radiating ternary hybrid nanofluid flow under the influence of induced magnetic field and nanoparticle shapes PR Duari, K Das Heat Exchanger Technologies for Sustainable Renewable Energy Systems, 223-242 , 2025 2025
Active-passive controls on magneto CNTs nanofluid flow over a wavy rotating disc PR Duari, K Das International Journal of Modelling and Simulation 45 (3), 1005-1020 , 2025 2025 Citations: 4
Revealing the dynamic response of Prandtl–Eyring's ternary hybrid nanofluidic flow with Arrhenius activation energy: A model incorporating correlation coefficients and probable … PR Duari, K Das ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2025 2025 Citations: 2
MHD radiating flow in a hybrid solution of C 2 H 6 O 2 –H 2 O to disperse Ag–Al 2 O 3 hybrid nanoparticles taking into account the effects of nanoparticle shapes PR Duari, K Das Indian Journal of Physics 99 (1), 157-169 , 2025 2025 Citations: 5
Computational outline on heat transfer analysis and entropy generation in hydromagnetic squeezing slip flow of hybrid nanofluid PR Duari, K Das Multidiscipline Modeling in Materials and Structures 20 (6), 1402-1424 , 2024 2024 Citations: 3
Magnetohydrodynamic flow of ternary hybrid nanofluids over a wedge: Influence of nanoparticle shape factor in solar energy applications PR Duari, K Das Nanofluids Technology for Thermal Sciences and Engineering, 209-240 , 2024 2024
Effects of nanoparticle shape factor on radiative ternary hybrid nanofluid flow over a wedge in presence of induced magnetic field K Das, PR Duari Multidiscipline Modeling in Materials and Structures 20 (3), 486-509 , 2024 2024 Citations: 18
Influence of variable characteristic of the porous medium on unsteady nanofluid flow with melting heat transference D Gorai, PR Duari, K Das Numerical Heat Transfer, Part A: Applications 85 (5), 702-718 , 2024 2024 Citations: 15
Magneto chemically reacting micropolar nanofluid flow in existence of heat source/sink K Das, N Acharya, PK Kundu, PR Duari Journal of Nanofluids 11 (4), 528-536 , 2022 2022 Citations: 5
Slip flow of hybrid nanofluid in presence of solar radiation K Das, N Acharya, MT Sk, PR Duari, T Chakraborty International Journal of Modern Physics C 33 (02), 2250017 , 2022 2022 Citations: 12
Micropolar nanofluid flow over an stretching sheet with chemical reaction K Das, PR Duari International Journal of Applied and Computational Mathematics 3 (4), 3229-3239 , 2017 2017 Citations: 19
Forced convective flow over a porous plate with variable fluid properties and chemical reaction: an application of the lie group transformation K Das, N Acharya, PR Duari Moldavian Journal of the Physical Sciences 16 (1-2), 46-63 , 2017 2017 Citations: 2
Hydromagnetic rarefied fluid flow over a wedge in the presence of surface slip and thermal radiation K Das, RP Sharma, PR Duari International Journal of Applied Mechanics and Engineering 22 (4) , 2017 2017 Citations: 15
Effects of magnetic field on an unsteady mixed convection flow of nanofluids containing spherical and cylindrical nanoparticles K Das, PR Duari, PK Kundu Journal of Heat Transfer 138 (6), 061901 , 2016 2016 Citations: 11
Nanofluid bioconvection in presence of gyrotactic microorganisms and chemical reaction in a porous medium K Das, PR Duari, PK Kundu Journal of Mechanical Science and Technology 29 (11), 4841-4849 , 2015 2015 Citations: 80
Numerical simulation of nanofluid flow with convective boundary condition K Das, PR Duari, PK Kundu Journal of the Egyptian Mathematical Society 23 (2), 435-439 , 2015 2015 Citations: 72
Solar radiation effects on Cu–water nanofluid flow over a stretching sheet with surface slip and temperature jump K Das, PR Duari, PK Kundu Arabian Journal for Science and Engineering 39 (12), 9015-9023 , 2014 2014 Citations: 38
MOST CITED SCHOLAR PUBLICATIONS
Nanofluid flow over an unsteady stretching surface in presence of thermal radiation K Das, PR Duari, PK Kundu Alexandria engineering journal 53 (3), 737-745 , 2014 2014 Citations: 126
Nanofluid bioconvection in presence of gyrotactic microorganisms and chemical reaction in a porous medium K Das, PR Duari, PK Kundu Journal of Mechanical Science and Technology 29 (11), 4841-4849 , 2015 2015 Citations: 80
Numerical simulation of nanofluid flow with convective boundary condition K Das, PR Duari, PK Kundu Journal of the Egyptian Mathematical Society 23 (2), 435-439 , 2015 2015 Citations: 72
Solar radiation effects on Cu–water nanofluid flow over a stretching sheet with surface slip and temperature jump K Das, PR Duari, PK Kundu Arabian Journal for Science and Engineering 39 (12), 9015-9023 , 2014 2014 Citations: 38
Micropolar nanofluid flow over an stretching sheet with chemical reaction K Das, PR Duari International Journal of Applied and Computational Mathematics 3 (4), 3229-3239 , 2017 2017 Citations: 19
Effects of nanoparticle shape factor on radiative ternary hybrid nanofluid flow over a wedge in presence of induced magnetic field K Das, PR Duari Multidiscipline Modeling in Materials and Structures 20 (3), 486-509 , 2024 2024 Citations: 18
Influence of variable characteristic of the porous medium on unsteady nanofluid flow with melting heat transference D Gorai, PR Duari, K Das Numerical Heat Transfer, Part A: Applications 85 (5), 702-718 , 2024 2024 Citations: 15
Hydromagnetic rarefied fluid flow over a wedge in the presence of surface slip and thermal radiation K Das, RP Sharma, PR Duari International Journal of Applied Mechanics and Engineering 22 (4) , 2017 2017 Citations: 15
Unfolding flow features of MHD hybrid nanofluid (Ag–Al 2 O 3 –H 2 O) and mono nanofluid (Al 2 O 3 –H 2 O) flow over exponentially expanded sheet soaked in a … T Chakraborty, PR Duari, N Acharya Waves in Random and Complex Media 36 (2), 2510-2537 , 2026 2026 Citations: 13
Slip flow of hybrid nanofluid in presence of solar radiation K Das, N Acharya, MT Sk, PR Duari, T Chakraborty International Journal of Modern Physics C 33 (02), 2250017 , 2022 2022 Citations: 12
Effects of magnetic field on an unsteady mixed convection flow of nanofluids containing spherical and cylindrical nanoparticles K Das, PR Duari, PK Kundu Journal of Heat Transfer 138 (6), 061901 , 2016 2016 Citations: 11
Nanofluid flow over an unsteady stretching surface in presence of thermal radiation, Alexandria Eng K Das, PR Duari, PK Kundu J 53 (3), 737-745 , 2014 2014 Citations: 11
MHD radiating flow in a hybrid solution of C 2 H 6 O 2 –H 2 O to disperse Ag–Al 2 O 3 hybrid nanoparticles taking into account the effects of nanoparticle shapes PR Duari, K Das Indian Journal of Physics 99 (1), 157-169 , 2025 2025 Citations: 5
Magneto chemically reacting micropolar nanofluid flow in existence of heat source/sink K Das, N Acharya, PK Kundu, PR Duari Journal of Nanofluids 11 (4), 528-536 , 2022 2022 Citations: 5
Active-passive controls on magneto CNTs nanofluid flow over a wavy rotating disc PR Duari, K Das International Journal of Modelling and Simulation 45 (3), 1005-1020 , 2025 2025 Citations: 4
Computational outline on heat transfer analysis and entropy generation in hydromagnetic squeezing slip flow of hybrid nanofluid PR Duari, K Das Multidiscipline Modeling in Materials and Structures 20 (6), 1402-1424 , 2024 2024 Citations: 3
Framing the features of electro-osmosis-modulated EMHD Casson fluid flow over stretchy surface: effect of non-linear thermal radiation and multifarious slip N Acharya, PR Duari, SS Giri, K Das International Journal of Ambient Energy 47 (1), 2609590 , 2026 2026 Citations: 2
Revealing the dynamic response of Prandtl–Eyring's ternary hybrid nanofluidic flow with Arrhenius activation energy: A model incorporating correlation coefficients and probable … PR Duari, K Das ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2025 2025 Citations: 2
Forced convective flow over a porous plate with variable fluid properties and chemical reaction: an application of the lie group transformation K Das, N Acharya, PR Duari Moldavian Journal of the Physical Sciences 16 (1-2), 46-63 , 2017 2017 Citations: 2
Impact of porosity and permeability variations on Darcy–Forchheimer hybrid nano‐fluid flow over a rotating disk with activation‐energy N Acharya, PR Duari, SS Giri, K Das ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2026 2026