9 research outputs found
The Mathematical modelling of environmental pollution using the Freundlich non-linear contaminant transport formulation
No full textIn this paper environmental pollution has been modeled mathematically using the Freundlich non-linear contaminant transport formulation. An analytical solution of lower order perturbation of the concentration C(x,f) is obtained. Flow profiles for various values of molecular diffusion D and the velocity U are studied and the effects of these parameters on the flow regimes highlightedJournal of the Nigerian Association of Mathematical Physics Vol. 8 2004: pp. 83-8
Dynamic analysis of a thermal–induced stress in an elastic circular plate
No full textStress is a phenomenon that could cause a lot of destruction to engineering structures if there are no adequate in-built absorbers in such structures. Buildings, bridges and such other structures must therefore be protected from excessive stress in other to maintain their shapes and forms and hence to guarantee the life span of these structures because of the negative effects this phenomenon may have on them if left unchecked. In this work we study the magnitude of a thermal-induced stress in a circular elastic plate of radius b with an indented circular hole of radius a at the center. The magnitudes of the normal and tangential components for various span ratio ab are computed. The results of this analysis show a definitive relationship between the stress profile and variability in span ratio.
Journal of the Nigerian Association of Mathematical Physics Vol. 8 2004: pp. 57-6
Dynamic Analysis of a non-linear vibrating circular cylindrical shell using the regular perturbation technique
No full textWe investigated in this paper the effect of non-linear vibration of a circular cylindrical shell subject to axially symmetric loading. We consider the approximation of the equation using the regular perturbation technique and thereby solving the resulting linear equation analytically. The result indicates an exponential decay away from the edge of the shell, which is one of the unique characteristics of a shell. From the numerically simulated results it was observed that increase in the excitation amplitude produces a wrinkling effect on the shell. JONAMP Vol. 11 2007: pp. 301-31
Viscous Dissipation Effect On The MHD Flow Of A Third Grade Fluid Down: an Inclined Plane With Ohmic Heating
Get PDFThe thin film flow and heat transfer problem of a third grade fluid down an inclined plane is investigated. The fluid is incompressible and electrically conducting in the presence of a uniform magnetic field. The non-linear equation governing the flow and heat transfer are solved for the velocity and temperature profile by employing the regular perturbation technique as well as homotopy perturbation method and the results are presented graphically. The effect of magnetic parameter and Brinkman number are analyzed for velocity and temperature profile. It is noticed that increase in magnetic parameter reduced the velocity of the fluid and increases the temperature profile. Also, increase in Brinkman number increases the temperature profile. Keywords: Third grade fluid, Brinkman number, Perturbation method, Homotopy perturbation method, Magnetohydrodynamics
Annular Flow of an Incompressible MHD Third Grade Fluid in a Rotating Concentric Cylinders with Isothermal Walls and Joule Heating
No full textAnnular Flow of an Incompressible MHD Third Grade Fluid in a Rotating Concentric Cylinders with Isothermal Walls and Joule Heating
No full textIn this paper, we considered the flow of an incompressible MHD third grade fluid in the annulus of concentric rotating cylinders with isothermal wall and Joule heating. The flow was assumed to be induced by the axial pressure gradient. The resulting governing equations of flow were solved using the regular perturbation method. Results showed that at an angular velocity ω =1.0 the velocity of the fluid tended to be at equilibrium but with ω <1.0 the velocity was drastically reduced and when ω>1.0 it became greatly enhanced. Furthermore, it was shown that the temperature reduces by increasing angular velocity and Brinkman number.Keywords: Incompressible MHD, isothermal wall, Joule heating
MHD Flow of A Third Grade Fluid with Heat Transfer And Slip Boundary Condition Down An Inclined Plane
Get PDFIn this work, we consider the combine effects of slip boundary ohmic heating on MHD flow of a third grade fluid down an inclined plane. The couple non-linear ordinary differential equations arising from the model were solved using both the regular and homotopy perturbation. Effects of the various thermo physical parameters are studied and depicted graphically. Keywords: Slip boundary, MHD, Third grade fluid, Ohmic heating, inclined plane
Magnetohydrodynamics (MHD) Flow of a Third Grade Fluid through a Cylindrical Pipe in an Inclined Plane with Radiation
Get PDFThis work considered the natural convection of a one-dimensional heat generation and viscous dissipation model of a Magnetohydrodynamics (MHD) third grade fluid in an inclined cylindrical pipe with radiation. The governing dimensional equations of the momentum and energy were first non-dimensionalized and then solved analytically using the Homotopy Analysis Method (HAM). The results obtained are displayed on graphs. From the graphs, we observe that increase in the grashof number leads to increase in both the velocity and the temperatue of the fluid. Also, the temperature of the fluid increases with increase in the radiative heat flux and drops gradually as the radiative heat flux decreases. The effect of various parameters on the velocity and temperature profiles are reported graphically for both cases of the extended models to elucidate special features of the solutions.Â
Proceedings of International Conference on Applied Mathematics & Computational Sciences
Get PDFThis proceedings contain articles of the various research ideas of the academic community and practitioners presented at the International Conference on Applied Mathematics & Computational Sciences (ICAMCS 2019). ICAMCS2019 aimed to provide a platform to discuss ideas, issues, challenges, findings, opportunities, and applications of Applied Mathematics and Computational Sciences in various fields. It is a great privilege for us to present the proceedings of ICAMCS2019 to the authors and the delegates of the event. We hope that you will find it useful, valuable, aspiring, and inspiring.
Conference Title: International Conference on Applied Mathematics & Computational SciencesConference Acronym: ICAMCS-2019Conference Date: 17-19 October, 2019Conference Location: DIT University, DehradunConference Organizers: DIT University, Dehradun, Indi
