A study of mixed convection magnetohydrodynamics Williamson nanofluid flow over a nonlinear permeable elongating sheet over a porous medium with viscous dissipation Seetharam Karanamu, Jayaramireddy Konda, Shaik Kalesha Vali Heat Transfer, 2025 Convection, that is, mixed magnetohydrodynamics stream of Williamson nanofluid in excess of a nonlinearly stretchable permeable sheet, has been studied using a mathematical model that includes thermal radiation, viscous dissipation, heat source/sink, chemical reaction, and suction are all examples of thermal radiation are all examples of how heat is dissipated. By availing the controlling similarity transformations, suitable similarity transformations partial differential equations are reduced into the solution of a set of ordinary differential equations that are nonlinear using the homotopy analysis method. There is also a clear approach to get series solutions to converge. There was a strong correlation between the current and past outcomes. Graphs and tables are used to illustrate the nature of the flow field beneath various conditions.
Normal BE-Algebras M. Bala Prabhakar Communications on Applied Nonlinear Analysis, 2025 In this present article we propounded the idea of normal BE-algebras, derived some significant properties of normal BE-algebras and obtained a set of equivalent conditions indicating when a normal BE-algebra assumes the characteristics of an involutory BE-algebra. Some sufficient conditions for a BE-algebra to become a normal BE-algebra are derived. Also, congruence relation is introduced on a normal BE-algebra.
Cosmographic analysis of anisotropic Kaniadakis holographic dark energy model K. Murali, Y. Aditya, S. Kalesha Vali Modern Physics Letters A, 2024 In this paper, we investigate the anisotropic and spatially homogeneous Bianchi type-I universe with Kaniadakis holographic dark energy in Saez–Ballester [Phys. Lett. A 113, 467 (1986)] theory of gravitation. We determine Kaniadakis holographic dark energy model by assuming a correlation between the metric potentials to solve the field equations of the model. This results in a dynamical deceleration parameter which demonstrates an accelerating expansion of the universe. Our model’s equation of state parameter [Formula: see text] close to [Formula: see text] ([Formula: see text] model) at late-times and is in agreement with the most recent observations. Next, we obtained the squared sound speed ([Formula: see text]) and found that it is positive, implying stability against perturbations. The [Formula: see text] plane is constructed to investigate the evolution of the models’ EoS parameter turned out to be in a freezing zone. As should be the case in an expanding universe, the strong energy conditions of the model are violated. Statefinders [Formula: see text], and [Formula: see text] planes were also examined. Our model includes the Chaplygin gas, [Formula: see text] limit, and is inclined towards the steady-state model.
PRIME AND IRREDUCIBLE ELEMENTS OF COMMUTATIVE BE-ALGEBRAS Palestine Journal of Mathematics, 2024
Significance of Thermal Boundary Layer Analysis of MHD Chemically Radiative Dissipative Casson Nanofluid Flow over a Stretching Sheet with Heat Source S. Karanamu, J. Konda, S. K. Vali Journal of Engineering Thermophysics, 2023 Abstract A mathematical model that incorporates thermal radiation, viscous dissipation, heat source/sink, chemical reaction, and suction was used to study the MHD flow of Casson nanofluid over a nonlinearly permeable stretched sheet. The governing partial differential equations are composed of a set of nonlinear ordinary differential equations using proper similarity transformations, and then solved using the homotopy analysis approach (HAM). Numerical data and plots are used to discuss the impact of physical limitations on liquid velocity, temperature, and concentration. To examine the flow characteristics at the wall, the skin friction coefficients, local Nusselt number, and Sherwood numbers are also evaluated. With much acclaim, a link between penetrable findings for specific cases is discovered.
Dynamics of directly transmitted viral micro parasite model International Journal of Ecology and Development, 2017
Rectilinear oscillations of a prolate spheroid in a saturated porous medium Global Journal of Pure and Applied Mathematics, 2015
Brinkman flow past an impervious spheroid under stokesian assumption Global Journal of Pure and Applied Mathematics, 2015
Ideals of C-algebras S. Kalesha Vali, P. Sundarayya, U. M. Swamy Asian European Journal of Mathematics, 2010
RECENT SCHOLAR PUBLICATIONS
Bianchi Type-VI0 Bulk Viscous string cosmological Model in the presence of attractive Massive Scalar field PP Kumar, RL Naidu, SK Vali 2026
Dynamics of Bouncing Cosmology in Brans-Dicke Gravity with Kaniadakis Holographic Dark Energy K Murali, Y Aditya, SK Vali Astrophysics, 1-27 , 2026 2026
Cosmological consequences of Kaniadakis holographic dark energy model in Saez-Ballester theory of gravitation K Murali, Y Aditya, SK Vali AIP Conference Proceedings 3298 (1), 040022 , 2025 2025 Citations: 2
Spline based solution for singularly perturbed convection dominated diffusion equation with a significant delay NR Guruvu, MMK Palli, KV Shaik American Institute of Physics Conference Series 3298 (1), 040023 , 2025 2025
MODELING THE DYNAMICS OF COVID-19 WITH THE INCLUSION OF TREATMENT, VACCINATION AND NATURAL CURE. GK Kumar, SK Vali i-Manager's Journal on Mathematics 13 (2) , 2024 2024
Cosmographic analysis of anisotropic Kaniadakis holographic dark energy model K Murali, Y Aditya, SK Vali Modern Physics Letters A 39 (23n24), 2450106 , 2024 2024 Citations: 5
Stability analysis of SIRI epidemic model with reintroduced susceptibles under incorporated time delay on susceptible individuals KML Emandi, KV Shaik, AR Dokala, S Umme Montes Taurus J. Pure Appl. Math 6 (3), 558-578 , 2024 2024 Citations: 2
Stability analysis of SIR epidemic model under vaccination coverage on vertically transmitted newborns DK Gummala, KV Shaik, AR Dokala, S Umme Montes Taurus J. Pure Appl. Math 6 (3), 540-557 , 2024 2024 Citations: 2
PRIME AND IRREDUCIBLE ELEMENTS OF COMMUTATIVE BE-ALGEBRAS VV Kumar, MS Rao, SK Vali Palestine Journal of Mathematics 13 (3), 75-81 , 2024 2024
Stability analysis of SIRI epidemic model with reintroduced susceptible SU Kanakamaha Lakshmi E, Kalesha vali S, Appa Rao D African Journal of Biological Sciences 6 (Special Issue 4), 5212-5222 , 2024 2024 Citations: 3
Stability analysis of SIR Epidemic model under Vaccination coverage with Time delay in the interaction of Susceptible and infected individuals SU Divya Kumari G, Kalesha Vali S, Appa Rao D African Journal of Biological Sciences 6 (Special Issue 4), 5196-5211 , 2024 2024 Citations: 4
A study of mixed convection magnetohydrodynamics Williamson nanofluid flow over a nonlinear permeable elongating sheet over a porous medium with viscous dissipation S Karanamu, J Konda, SK Vali Heat Transfer 53, 1-24 , 2024 2024
Significance of Thermal Boundary Layer Analysis of MHD Chemically Radiative Dissipative Casson Nanofluid Flow over a Stretching Sheet with Heat Source S Karanamu, J Konda, SK Vali Journal of Engineering Thermophysics 32 (3), 560-578 , 2023 2023
TOLERANCE BASED ROUGH ALGEBRAS INDUCED BY BLOCKS. NK Kumar, MPK Kishore, SK Vali i-Manager's Journal on Mathematics 12 (2) , 2023 2023
Minimal prime filters of commutative -algebras V Venkata Kumar, M Sambasiva Rao, S Kalesha Vali Algebraic Structures and Their Applications 10 (1), 113-130 , 2023 2023 Citations: 1
RADICAL OF FILTERS OF TRANSITIVE BE-ALGEBRAS. VV Kumar, MS Rao, SK Vali Palestine Journal of Mathematics 11 (2) , 2022 2022 Citations: 8
Prime Ideals of Transitive BE -Algebras MB Prabhakar, SK Vali, MS Rao Discussiones Mathematicae-General Algebra and Applications 42 (1), 97-119 , 2022 2022 Citations: 1
A Time delay Viral Micro Parasite Model PAV Appa Rao D, Kalesha Vali S International Journal of Ecology Development 37 (1), 73-87 , 2022 2022 Citations: 4
Stability of SIRS Epidemic model under saturated treatment SKVAVPR D. Appa Rao International Journal of Ecological Economics and Statistics 43 (3), 106-119 , 2022 2022 Citations: 6
Maximal Ideals of Transitive BE-Algebras MB Prabhakar, SK Vali, MS Rao Jordan Journal of Mathematics and Statistics 15 (1), 1-14 , 2022 2022 Citations: 1
MOST CITED SCHOLAR PUBLICATIONS
Prime spectrum of a C-algebra SK Vali, UM Swamy Int. J. Open Problems Compt. Math 4 (1) , 2011 2011 Citations: 12
Ideals of C-algebras SK Vali, P Sundarayya, UM Swamy Asian-European Journal of Mathematics 3 (3), 501-509 , 2010 2010 Citations: 12
Flow Past an Impervious Spheroid under Stokesian Assumption DSKSK Vali Global Journal of Pure & Applied Mathematics 11 (3), 1399-1412 , 2015 2015 Citations: 10
Semilattice structures on a C-algebra UM Swamy, GC Rao, P Sundarayya, SK Vali Southeast Asian Bulletin of Mathematics 33 (3) , 2009 2009 Citations: 10
RADICAL OF FILTERS OF TRANSITIVE BE-ALGEBRAS. VV Kumar, MS Rao, SK Vali Palestine Journal of Mathematics 11 (2) , 2022 2022 Citations: 8
Closed and Dense Elements of BE-algebras MB Prabhakar, SK Vali, MS Rao Journal of the Chungcheong Mathematical Society 32 (1), 53-53 , 2019 2019 Citations: 7
Dynamics of directly transmitted viral micro parasite model SKVAVPR D. Appa Rao International Journal of Engineering and Technology 32 (4), 88-97 , 2017 2017 Citations: 7
Stability of SIRS Epidemic model under saturated treatment SKVAVPR D. Appa Rao International Journal of Ecological Economics and Statistics 43 (3), 106-119 , 2022 2022 Citations: 6
Rectilinear Oscillations of a Prolate Spheroid in a Saturated Porous medium DSKSK Vali Global Journal of Pure and Applied Mathematics 11 (2), 34-39 , 2015 2015 Citations: 6
Ideal Congruences on a C-algebra SK Vali, P Sundarayya, UM Swamy Int. J. Open Problems Compt. Math 3 (3) , 2010 2010 Citations: 6
Ideals of c-algebras S Kalesha Vali, P Sundarayya, UM Swamy Asian-European Journal of Mathematics 3 (03), 501-509 , 2010 2010 Citations: 6
Cosmographic analysis of anisotropic Kaniadakis holographic dark energy model K Murali, Y Aditya, SK Vali Modern Physics Letters A 39 (23n24), 2450106 , 2024 2024 Citations: 5
Generalized lower sets of transitive BE-algebras MB Prabhakar, SK Vali, MS Rao Palestine Journal of Mathematics 11 (1), 176-181 , 2022 2022 Citations: 5
Stability of SIRS Epidemic model with non linear incidence rate SKVAVPR D. Appa Rao Science Spectrum 5 (3), 118-126 , 2020 2020 Citations: 5
Stability analysis of SIR Epidemic model under Vaccination coverage with Time delay in the interaction of Susceptible and infected individuals SU Divya Kumari G, Kalesha Vali S, Appa Rao D African Journal of Biological Sciences 6 (Special Issue 4), 5196-5211 , 2024 2024 Citations: 4
A Time delay Viral Micro Parasite Model PAV Appa Rao D, Kalesha Vali S International Journal of Ecology Development 37 (1), 73-87 , 2022 2022 Citations: 4
Stability analysis of SIRI epidemic model with reintroduced susceptible SU Kanakamaha Lakshmi E, Kalesha vali S, Appa Rao D African Journal of Biological Sciences 6 (Special Issue 4), 5212-5222 , 2024 2024 Citations: 3
IDEALS OF TRANSITIVE BE-ALGEBRAS. MB Prabhakar, SK Vali, MS Rao Palestine Journal of Mathematics 10 (2) , 2021 2021 Citations: 3
Regular filters of commutative BE-algebras VV Kumar, MS Rao, SK Vali TWMS Journal Of Applied And Engineering Mathematics , 2021 2021 Citations: 3
Annihilators of C-algebras. S Kalesha Vali, P Sundarayya, UM Swamy Southeast Asian Bulletin of Mathematics 39 (4) , 2015 2015 Citations: 3