Numerical Investigation of the Effects of Velocity and Particle Concentration on Heat Transfer of Vibrational Flow of Non-Newtonian Nanofluid

Volume 8 Issue 1 January - March 2019

Research Paper

Numerical Investigation of the Effects of Velocity and Particle Concentration on Heat Transfer of Vibrational Flow of Non-Newtonian Nanofluid

Santosh K. R. Mishra*, H. Chandra**, Arun Arora***

*_***Bhilai Institute of Technology, Durg, Chhattisgarh, India.

Mishra, S. Kr., Chandra, H., Arora, A. (2019). Numerical investigation of the effects of velocity and particle concentration on heat transfer of Vibrational flow of non-Newtonian nanofluid. i-manager's Journal on Mathematics, 8(1), 35-47https://doi.org/10.26634/jmat.8.1.16239

Abstract

In this paper, the effect of solid particle concentration and flow velocity of nanofluid with and without superimposed vibration at the wall were numerically investigated. For this purpose, non-newtonian nanofluid containing Al2O3 and aqueous CMC solution as a single phase with an average particle size of 25 nm and four particle concentration of 0.0, 0.5, 1.0, and 1.5% were used. Effects of volume concentration on convective heat transfer coefficient were investigated in different Reynolds number for different vibration parameters. The results showed that in a steady flow, with Reynolds number, dispersion of nanoparticles causes the thermal boundary layer to grow rapidly than that of base fluid in axial direction and vibration act as a catalyst; at a given concentration much enhancement results than steady state. The ratio of convective heat transfer coefficient of unsteady state to a steady state flow of nanofluid with an increase of Reynolds number and increases with concentration. Vibration effects reduce in significance as frequency increases, and that they are more sensitive to amplitude to frequency. The largest increase of about 300% was observed under the condition of vibrational flow of nanofluid compared with a steady flow of base fluid.

On β -Change Of Special Finsler (α, β)-Metrics Of Dougls Type

Volume 8 Issue 1 January - March 2019

Research Paper

On β -Change Of Special Finsler (α, β)-Metrics Of Dougls Type

M. Ramesha*, S. K. Narasimhamurthy**

*Department of Mathematics, School of Engineering and Technology, Jain Global Campus, Jakkasandra, Bangalore, Karnataka, India.

** Department of P.G. Studies and Research in Mathematics, Kuvempu University.

Ramesha, M., & Narasimhamurthy, S. K . (2019). On beta-Change of Special Finsler (alpha,beta)-Metrics of Dougls Type. i-manager's Journal on Mathematics, 8(1), 24-34 https://doi.org/10.26634/jmat.8.1.16186

Abstract

Let Fn =(M, L) be an n-dimensional Finsler manifold, and Let L and L be the two Finsler metrics. For a differential one form β(x,dx)=bi(x)dxi on M, G. Randers, in 1941, introduced a special Finsler space defined by the change L =L+β, where L is i Riemannian, to consider a unified field theory. For a β-change of Finsler metric, the differential one-form β plays a very important role. With the above observations, in this article, the authors have tried to study the necessary and sufficient n condition for Finsler space Fn which is transformed by a b-change of Finsler space Fn with (α, β)-metric to be of Douglas type. And also we are discussing the different classes of (α, β)-metrics of Finsler spaces Fn are discussed, which is obtained by a β-change of a Finsler space Fn is of Douglas type. The terminology and notations are referred to the Matsumoto's monograph (Matsumoto, 1992).

Non-Steady Radial Flow of a Viscous Incompressible Liquid in The Porous Medium Around a Radially Oscillating Spherical Surface

Volume 8 Issue 1 January - March 2019

Research Paper

Non-Steady Radial Flow of a Viscous Incompressible Liquid in The Porous Medium Around a Radially Oscillating Spherical Surface

Mohammed Naheed*

Department of Information and Technology (Mathematics Section), Nizwa College of Technology (Nizwa), Sultanate of Oman.

Naheed, M. (2019). Non-Steady Radial Flow of a Viscous Incompressible Liquid in The Porous Medium Around a Radially Oscillating Spherical Surface. i-manager's Journal on Mathematics, 8(1), 16-23 https://doi.org/10.26634/jmat.8.1.16065

Abstract

This paper deals with non-steady radial flow of a viscous, incompressible liquid in the porous medium around a radially oscillating time dependent spherical surface. The momentum equation considered for the flow through the porous medium takes care of the fluid inertia and the Newtonian stresses in addition to the classical Darcy's friction. Expressions for the pressure and velocity distributions have been derived in terms of the expansion rate of sphere radius using analytical method and effects of variation of pressure, velocity of a viscous, incompressible, and homogeneous fluid flow in a porous medium are reported and the results are presented graphically for the two special cases of radius of the sphere.

A Study to Predict Eid Al-Fitr Day in Oman using Markov Chain Technique

Volume 8 Issue 1 January - March 2019

Research Paper

A Study to Predict Eid Al-Fitr Day in Oman using Markov Chain Technique

Mohammed Razeeuddin *, B. V. Senthil Kumar**

*_**Section of Mathematics, Department of Information and Technology, Nizwa College of Technology (Nizwa), Sultanate of Oman.

Razeeuddin, M., Kumar, B. V. S. (2019). A Study to Predict Eid al-Fitr Day in Oman using Markov Chain Technique. i-manager's Journal on Mathematics, 8(1), 8-15 https://doi.org/10.26634/jmat.8.1.16233

Abstract

Markov chain is a powerful technique employed to forecast the variations in the sharemarket, customer behaviour, marketing, customers' brand loyalty, weather, game of golf, weather report, gold rate, conversion of currency rate, etc. This study focuses on research discrete-time Markov chain. Some significant properties of Markov chains are evoked and then the research and knowledge gained on Markov chains is applied to predict Eid al-Fitr day for the succeeding years and also in the long run. The Eid al-Fitr day for each year depends only on the previous year Eid al-Fitr day and not on its previous years' Eid al-Fitr days. The authors have also justified is study that the application of Markov chain is an appropriate process in predicting Eid al-Fitr day in Oman.

Dismantling of Magneto-Hydrodynamic Maxwell Equation in Cylindrical Co-Ordinates

Volume 8 Issue 1 January - March 2019

Research Paper

Dismantling of Magneto-Hydrodynamic Maxwell Equation in Cylindrical Co-Ordinates

M. O. Mosa*

Mathematics Teacher, Sudan International Grammar School, Sudan.

Mosa, M. O. (2019). Dismantling of Magneto-Hydrodynamic Maxwell Equation in Cylindrical Co-Ordinates. i-manager's Journal on Mathematics, 8(1), 1-7 https://doi.org/10.26634/jmat.8.1.15737

Abstract

The Maxwell model is considered to be the simplest of rate type fluids model of viscoelastic fluid, the model describes the blood flow in small vessels. And also the response of some polymeric liquids. The focus of this work is derivation of magneto-hydrodynamic of Maxwell model in cylindrical co-ordinates (r;θ; z), basic equations (equation of continuity and momentum), and the Maxwell model were changed from the vector form to deferential form to derive the model in cylindrical co-ordinates (r; θ ; z). The Maxwell equation has been derived and system of partial differential equations was obtained under effect of magnetic field.

Effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate

Volume 7 Issue 4 October - December 2018

Research Paper

Effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate

M. Obulesu*, R. Siva Prasad**

* Research Scholar, Department of Mathematics, Sri Krishnadevaraya University, Anantapuram, Andhra Pradesh, India.

** Professor and Head, Department of Mathematics, Sri Krishnadevaraya University, Anantapuram, Andhra Pradesh, India.

Obulesu, M., Prasad, R. S. (2018). Effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate, i-manager's Journal on Mathematics, 7(4), 39-49.https://doi.org/10.26634/jmat.7.4.15561

Abstract

In this manuscript, an attempt is made to study the effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate. Analytical solutions are obtained by solving the constituted governing equations by using regular perturbation technique. The impact of various physical parameters on the flow quantities are studied numerically. The expressions for other important physical parameters such as skin friction coefficient, Nusselt number and Sherwood number are also presented and studied with the help of tables. The results of this study are more suitable with the existing literature in the absence of the extended parameters.

Effects of Heat and Mass Transfer on MHD Flow of Viscoelastic Micro-Polar Fluid Through A Porous Medium with Heat Source and Chemical Reaction

Volume 7 Issue 4 October - December 2018

Research Paper

Effects of Heat and Mass Transfer on MHD Flow of Viscoelastic Micro-Polar Fluid Through A Porous Medium with Heat Source and Chemical Reaction

Kuppala R. Sekhar*

Assistant Professor, Department of H & S, Vemu Institute of Technology, P. Kothakota, Chittoor District, Andhra Pradesh, India.

Sekhar, K. R. (2018). Effects of Heat and Mass Transfer on MHD Flow of Viscoelastic Micro-Polar Fluid Through a Porous Medium with Heat Source and Chemical Reaction, i-manager's Journal on Mathematics, 7(4), 27-38.https://doi.org/10.26634/jmat.7.4.15377

Abstract

The present study investigates heat and mass transfer effects on unsteady flow of a visco-elastic fluid over an infinite moving permeable plate in a saturated porous medium in the presence of a transverse magnetic field with chemical reaction and heat sink are studied. The governing equations are solved analytically by using general perturbation technique to obtain the expressions for velocity, micro-rotation, temperature and concentration. The result shows that the effect of the chemical reaction parameter and heat source parameter increases, with increasing in micro-rotation across the boundary layer while visco-elastic parameter decreases in the vicinity of the plate. With the aid of these, the expressions for skin-friction coefficient, Nusselt number and Sherwood numbers are presented in tabular form.