Transient Axisymmetric Flows of Casson Fluids with Generalized Cattaneo’s Law over a Vertical Cylinder

Unsteady axial symmetric flows of an incompressible and electrically conducting Casson fluid over a vertical cylinder with time-variable temperature under the influence of an external transversely magnetic field are studied. The thermal transport is described by a generalized mathematical model based on the time-fractional differential equation of Cattaneo’s law with the Caputo derivative. In this way, our model is able to highlight the effect of the temperature gradient history on heat transport and fluid motion. The generalized mathematical model of thermal transport can be particularized to obtain the classical Cattaneo’s law and the classical Fourier’s law. The comparison of the three models could offer the optimal model of heat transport. The problem solution has been determined in the general case when cylinder surface temperature is described by a function f(t); therefore, the obtained solutions can be used to study different convective flows over a cylinder. In the particular case of surface temperature varying exponentially in time, it is found that fractional models lead to a small temperature rise according to the Cattaneo model

Elemen multimodaliti dalam karya kartun menerusi mod linguistik dan mod visual

Dalam kartun, makna dan mesej dihasilkan sama ada melalui dua mod semiotik, iaitu lisan dan visual atau semata-mata melalui mod visual.  Interaksi antara bahasa dan imej kartun sering dianggap sebagai cara yang langsung dan mudah diproses untuk menyampaikan mesej. Kajian ini bermatlamat untuk menunjukkan bahawa makna dan mesej kartun tidak selalu mudah untuk difahami sepenuhnya, oleh sebab itu pembaca harus memerhatikan maklumat bahasa dan visual bagi setiap kartun.  Kajian ini dijalankan bertujuan untuk mengenal pasti mod linguistik dan mod visual yang terdapat dalam kartun bagi menyampaikan makna serta mesej yang tersurat mahu pun yang  tersirat.  Untuk tujuan ini, dua teori digunapakai; teori Sistemik Fungsional Linguistik oleh Halliday (1994) bagi menganalisis mod linguistik dan pendekatan multimodal oleh Kress dan Van Leeuwen (1996, 2006) bagi menganalisis mod visual atau imej dalam kartun. Data kajian diperoleh daripada buku kartun Usik-Usik (Koleksi Sinikal Dunia Pendidikan). Dapatan kajian menunjukkan bahawa teks bahasa merupakan mod linguistik yang bertindak sebagai elemen multimodal yang berkesan dan menjadi pelengkap kepada mod visual yang terdapat pada karya kartun.  Seterusnya, dapatan kajian ini juga menunjukkan bahawa peranan mod  linguistik adalah untuk menyediakan konteks dalam karya kartun sebagai maklumat tambahan  supaya pembaca dapat memahami mesej yang hendak disampaikan dengan lebih jelas

The convection of unsteady casson fluid over an infinite inclined isothermal plate

An analytical solution of chemical reaction on unsteady Casson fluid over an infinite inclined isothermal plate has been presented in this article. Laplace transform technique has been used in this study to obtain the results of velocity, temperature and concentration. The analytical solution for governing equations are solved by using this method. The effects of various embedded solution on velocity, temperature and concentration such as chemical reaction, magnetic parameter and radiation has been discussed graphically with numerical results

A Study of MHD Free Convection Flow Past an Infinite Inclined Plate

In the present article, we have studied the magnetohydrodynamic (MHD) free convection flow past an infinite inclined plate. In order to explore the effects of velocity, temperature and concentration, Laplace transform technique has been used in this study. This method is adapted to accomplish the analytical solution of governing equation. The impact of various embedded parameter on concentration, velocity and temperature such as chemical reaction, magnetic parameter, radiation and inclination angle has been discussed graphically with numerical results

Analytical solution on performance of unsteady casson fluid with thermal radiation and chemical reaction

Casson fluid is classified as the non-Newtonian fluid and has a prominent application in the medical and engineering sector due to its elasticity behaviour. This study provides the analytical solution on performance of unsteady Casson fluid with the inclusion of thermal radiation and chemical reaction. Formulation of this fluid model is initiated with the partial differential equation (PDE) ofthe momentum and energy equations as well as the concentration equation. By applying the proper non-dimensional variables, these equations are then converted into dimensionless form. Subsequently, the derivation of the exact solutions for the temperature and velocity profiles is conducted with the utilisation of the Laplace transform method that satisfies both initial and boundary equations. Graphical illustrations, which portray the effects of the thermal radiation and chemical reaction are generated. It has been discovered that as the temperature rises, so does the thermal radiation. Additionally, when the value of the chemical reaction parameter increases, the concentration drops

Analytical Solution of Unsteady MHD Casson Fluid with Thermal Radiation and Chemical Reaction in Porous Medium

One of non-Newtonian fluid, Casson fluid, has a diversify application in the manufacturing and engineering sector due to its elasticity behaviour. This study provides the analytical solution of unsteady Casson fluid with the presence of thermal radiation and chemical reaction in a porous medium. Formulation of this fluid model is initiated with the partial differential equation (PDE) of the momentum and energy equations as well as the concentration equation. By applying the proper non-dimensional variables, these equations are then converted into dimensionless form. Subsequently, the derivation of the exact solutions for the concentration, temperature and velocity profiles is conducted with the operation of the Laplace transform method that satisfies both initial and boundary equations. Graphical illustrations, which portray the various effects on this study are generated. It has been revealed that as the thermal radiation, chemical species and porosity increases, so does the velocity profile. However, MHD and Casson parameter shown opposite behaviour in the velocity profiles

Effects of radiation and magnetohydrodynamic on unsteady Casson fluid over accelerated plate

The effects of radiation and magnetohydrodynamic on unsteady Casson fluid through an accelerated plate is analysed. The problem is formulated in the form of Partial Differential Equations (PDE) with imposed initial and boundary conditions. The Partial Differential Equations are transformed into dimensionless form by introducing suitable non-dimensional variables. Laplace transform method is used to derive the exact solutions for temperature and velocity profiles, fulfilling all initial and boundary conditions. The effects of parameters are depicted and illustrated graphically for radiation, Casson fluid and time, as well as Magnetohydrodynamics (MHD). It is found that the thermal radiation rises due to an increase in temperature. Besides, the increasing of Casson fluid and MHD parameter has decreasing effect on velocity. Finally, the influence of time will increase the velocity of the fluid

Unsteady MHD Casson Fluid Flow through Infinite Inclined Plate in the Presences of Hall Current and Chemical Reaction

The objective of this paper is to study about the unsteady Casson fluid in the present of hall current and chemical reaction electrically conducting heat fluid near an infinite inclined plate. Casson fluid model is choose to be in this research to characterize the non-Newtonian fluid behaviour. The exact solutions of momentum, energy and concentration equations, under Boussinesq approximation were obtained by Laplace transform technique to transform governing partial diffrential equations into ordinary differential equations with an appropriate boundary condition. All the transformed equations are then solved numerically by using Mathematica. Finally, the exact solution of momentum, energy and concentration of the cases are gained. The results of flow features for different values of governing parameters, unsteadiness parameter and Casson parameter are evaluated in graphs and has been discussed in the results section. The result presented that the velocity is increase when the magnetic parameter increases due to the existence of Lorentz force that helps in reducing heat for electronic system and radiators. Furthermore, the Hall current that we added into this study makes the velocity increase when Hall current increase. These phenomena happened because of the rising of Hall current makes the conductivity become decrease which led the decreasing in magnetic damping, results the increase in velocity

Generalized cattaneo’s law over a vertical cylinder on casson fluids

The analysis of unsteady axial symmetric flows of an incompressible and electrically conducting Casson fluid over a vertical cylinder with time-variable temperature, under influence of an external transversely magnetic field has been carried out. The mathematical model is build based on the time-fractional differential equation of Cattaneo’s law with Caputo derivative to describe thermal transport. Based on the model, we can obtain the effect of temperature gradient history on heat transport and fluid motion. Besides, the generalized mathematical model that we build can be used to achieve the Classical Cattaneo’s law. Comparison between the generalized Cattaneo and the classical Cattaneo was examined to optimize the heat transport model

Unsteady MHD casson fluid through a porous medium over an inclined plate in the present of chemical reaction

The unsteady of MHD Casson fluid flow through an infinite inclined plate in the presence of chemical reaction is investigated. In this research, Casson fluid model is choose to be used in this study to characterize the non-Newtonian fluid behaviour. We are employed the Laplace transform technique with an appropriate boundary condition to convert the governing partial differential equations into ordinary differential equations. All the transformed equations are then solved numerically by using Mathematica. Finally, we were obtained the exact solution of momentum, energy and concentration of the cases. The results of flow features for different values of the governing parameters, unsteadiness parameter, Casson parameter are analysed in graphs and has been discussed in the result section. The results presented that fluid velocity rises with the increment of magnetic parameter due to the present of Lorentz force. Lorentz force helps in reducing heat for electronic system and radiators. Furthermore, the increasing of inclination angle and chemical reaction make the velocity increases. The result for Casson fluid explained that this fluid helps to lower the resistance of the yield stress so that the velocity become higher