i-manager's Journal on Mathematics (JMAT)


Volume 10 Issue 2 July - December 2021

Research Paper

Unsteady Casson MHD Fluid Flow through Permeable Medium with Chemical Reaction and Diffusion Thermo Effects

K. Kranthi Kumar * , Ch. Baby Rani**, A. V. Papa Rao ***
* Department of Mathematics, Jawaharlal Nehru Technological University, Kakinada, Andhra Pradesh, India.
** Department of Mathematics, V. R. Siddhartha Engineering College, Vijayawada, Andhra Pradesh, India.
*** Department of Mathematics, Jawaharlal Nehru Technological University College of Engineering, Vizianagaram, Andhra Pradesh, India.
Kumar, K.K., Rani, C. B., & Rao, A. V. P. (2021). Unsteady Casson MHD Fluid Flow through Permeable Medium with Chemical Reaction and Diffusion Thermo Effects. i-manager's Journal on Mathematics, 10(2), 1-13. https://doi.org/10.26634/jmat.10.2.18320

Abstract

The impact of a variety of physical variables on Casson flow fluid through a vertical plate is investigated and, in this research, heat source/sink, radiation, diffusion thermo and chemical reaction has been included. Perturbation procedure is accustomed to solve non-dimensional multivariable governing equations. Graphical representations are habituated to explain the behaviour of concentration, temperature, and velocity for many characteristics and physical constants such as the Casson parameter (γ), Magnetic parameter (M), Grashof number (Gr), Prandtl number (Pr), modified Grashof number (Gm), Radiation parameter (R), heat sink parameter (Q), Dufour parameter (Du), influence of concentration, temperature, and velocity. The most important finding of the study is that when Dufour values rises, velocity and temperature rises as well. Tables are also used to compute the skin friction, Nusselt and Sherwood numbers.

Research Paper

Tangent Hyperbolic Nanofluid Boundary Layer Nonlinear Flow in Doubly Stratified Across a Stretching Permeable Cylinder: A Buongiorno Model

G. Dharmaiah* , K. S. Balamurugan**
* School of Sciences, Career Point University, Kota, Rajasthan, India.
** Department of Mathematics, RVR & JC College of Engineering, Guntur, Andhra Pradesh, India.
Dharmaiah, G., & Balamurugan, K. S. (2021). Tangent Hyperbolic Nanofluid Boundary Layer Nonlinear Flow in Doubly Stratified Across a Stretching Permeable Cylinder: A Buongiorno Model. i-manager's Journal on Mathematics, 10(2), 14-24. https://doi.org/10.26634/jmat.10.2.18321

Abstract

This research presents a numerical solution for the heat source in a doubly stratified incompressible hyperbolic tangent fluid caused by the stretches of a cylinder immersed in porous medium. Two phase nanofluid is utilized in this paper, with the help of similarity transformations to reduce the boundary layer governing partial differential equation (PDE) turned into an ordinary differential equation (ODE). The system of ODEs is employed with MATLAB bvp4c. The impact of various parameters on velocity, concentration and temperature profiles is thoroughly examined and addressed. The skin friction coefficient, mass and heat transfer rates are calculated and summarized. Graphs are used to study the variation of various beneficial factors as well as their significant effects. Raising the values of aligned magnetic field raises the flow profile, whereas increasing the values of Forchheimer number decreases it.

Research Paper

Topological Progressive Cones

Srinivasa Rao T.*
Department of Mathematics, University College of Science & Technology, Adikavi Nannaya University, Rajahmundry, Andhra Pradesh, India.
Rao, S. T. (2021). Topological Progressive Cones. i-manager's Journal on Mathematics, 10(2), 25-29. https://doi.org/10.26634/jmat.10.2.18330

Abstract

The intersection of surfaces in n-dimensional space Fn will form the integral curves that are the solutions of the partial differential equations whether dimensional or non-dimensional, and if the integral solutions are closed curves, then they form the Archimedean solids that would not necessarily have symmetric surfaces enclosing the feasible region and that not necessarily follow the Lipschitz condition.

Research Paper

2-Step Secure Domination on Graphs

J. E. Jenolin* , S. M. Ambika**, B. Uma Devi***
*-*** Department of Mathematics, S.T. Hindu College, Nagercoil, Tamilnadu, India.
Jenolin, J. E., Ambika, S. M., & Devi, B. U. (2021). 2-Step Secure Domination on Graphs. i-manager's Journal on Mathematics, 10(2), 30-36. https://doi.org/10.26634/jmat.10.2.18416

Abstract

This paper introduces a new parameter called 2-step secure domination of a graph with real world applications. Let G = (V, E) be a graph. A subset D of a vertices in a graph G is 2-step secure dominating set if every vertex v ϵ V - D, there exist one vertex uϵD such that d(u, v) = 2, and if each vertex uϵV-D is adjacent to a vertex vϵD such that (D-{v})υ{u} is a dominating set. The minimum cardinality of such a set is called the 2-step secure domination G, denoted by γ2SSD (G). The 2-step secure dominating set of G is found for path, cycle, ladder graph, Peterson graph, wheel graph, Helm graph, closed helm graph.

Research Paper

On A Certain Subclass of Meromorphic Functions Defined By Salagean Operator Fixing Some Taylor Coefficients

Sitavani Venkata * , Vedanabhatla Srinivas**
* Department of Mathematics, Nalla Malla Reddy Engineering College, Hyderabad, Telangana, India.
** Department of Mathematics, Dr. B. R. Ambedkar Open University, Hyderabad, Telangana, India.
Venkata, S., & Srinivas, V. (2021). On A Certain Subclass of Meromorphic Functions Defined By Salagean Operator Fixing Some Taylor Coefficients. i-manager's Journal on Mathematics, 10(2), 37-44. https://doi.org/10.26634/jmat.10.2.18300

Abstract

In the present paper, an interesting subclass of meromorphic univalent functions defined on a punctured unit disk E = {Z:|z|1>1}.  has been considered and studied. A sufficient condition for these functions to be univalent and sense preserving in the class has been obtained. Certain geometric properties of the functions of the subclass of meromorphic functions has been discussed, such as coefficient inequality, starlike-ness, convexity, growth and distortion, convex linear combination and extreme points of the functions of the class by fixing some Taylor coefficients.