A boundary layer flow of an electrically conducting viscous fluid past a converging channel in the presence of thermophoresis, heat source, chemical reaction, viscous dissipation and simultaneous heat and mass transfer characteristics is studied in the paper. An external magnetic field of uniform strength is applied transversely to the channel. The similarity solution has been used to transform the partial differential equations that represent the problem into a boundary value problem of coupled ordinary differential equations, which in turn are solved numerically using MATLAB’s built in solver bvp4c. Numerical computations are carried out to solve the problem and graphical illustrations are made to get the physical insight of the same. The convergent channel flow problem of an incompressible electrically conducting viscous fluid in the presence of a magnetic field has a wide range of applicability in different areas of engineering, specially in industrial metal casting and control of molten metal flow.
Being a habitat of the global village, every place has established connections through the strength and power of social media, piercing through the political boundaries. Social media is a digital platform, where people across the world can interact. This has a number of advantages of being universal, anonymous, easy accessibility, indirect interaction, gathering and sharing information when compared with direct interaction. The easy access to social networking sites (SNSs) such as Facebook, Twitter and blogs has brought about unprecedented opportunities for citizens to voice their opinions loaded with emotions/sentiments. Furthermore, social media can influence human thoughts. A recent incident of public importance had presented an opportunity to map the sentiments, involved around it. Sentiments were extracted from tweets for a week. These sentiments were classified as positive, negative and neutral and were mapped in geographic information system (GIS) environment. It was found that the number of tweets diminished by 91% over a week from 25 August 2017 to 31 August 2017. Maximum tweets emerged from places near the origin of the case (Haryana, Delhi and Punjab). The trend of sentiments was found to be – neutral (47.4%), negative (30%) and positive (22.6%). Interestingly, tweets were also coming from unexpected places such as United States, United Kingdom and West Asia. The result can also be used to assess the spatial distribution of digital penetration in India. The highest concentration was found to be around metropolitan cities, that is, Mumbai, Delhi and lowest in North East India and Jammu & Kashmir indicating the penetration of SNSs.
The crux of this paper is to explore heat distribution and motility traits of electrically conducting viscous fluid around a circular cylinder. The flow is two dimensional and is subjected to magnetic field and thermal radiation. Appropriate numeric computing environment is utilized for numerical solution of the set of transformed differential equations obtained using similarity transformation to the governing equations of the problem. The impinges of physical situation and different flow dictating parameters relevant to the problem have been depicted pictorially in the form of graphs. On the basis of these pictorial visualizations, attempts have been made for inferences regarding the problem. Point of separation is procured with respect to pertinent flow traits.
The quintessence of this article encompasses the effect of diffusiophoresis, chemical reaction, and varying viscosity as well as thermal conductivity on a fully developed dissipative flow through an upright channel. The fluid is electrically conducting undergoing mixed convection. The governing equations, after transfiguring into dimensionless formation, are solved through a numerical procedure for boundary value problems incorporating MATLAB solver. Imperative scrutiny is made to visualize associative impacts of flow parameters, namely, magnetic parameter, the Brinkmann number, the Schmidt number, variable viscosity parameter, variable thermal conductivity parameter, chemical reaction parameter, diffusiophoretic parameter, and particle diffusion parameter, on the flow. The velocity field, the temperature field, the solute concentration field, the particle concentration field, the skin friction, the Nusselt number, the Sherwood number, and the particle concentration gradient are assessed in view of alteration of the aforesaid parameters with the help of visual illustrations in graphical form and tabular form. Solute mass transposition and colloidal particle locomotion are the fresh inclusions to the scrutiny of upright channel flow in light of solving scheme of bvp4c. Chemical reaction engulfs both solute and particle concentration. Growing viscosity hinders the fluid velocity and heats up the flow encouraging interlayer friction.
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