In the present study, the magnetohydrodynamic characteristics of an electrically conducting nanofluid flowing past an inclined stretching sheet have been studied numerically. The governing partial differential equations were transformed to nonlinear ordinary differential equations (ODEs) via suitable similarity variables.The wall suction/injection as well as Navier's first-order slip has been considered for velocity, temperature, and concentration at the wall. The ODEs were solved in a finite difference framework via a computer program written in Engineering Equation Solver platform. The effect of different parameters on the velocity, temperature, and concentration field has also been presented. Multiple slip flow finds its application in many practical fields such as microelectromechanical systems, nanoelectromechanical systems, flow of micro-organisms, rarefied gas flow, to name a few.
The aim of this paper is to explore the effect of heat source/sink, and space- and temperature-dependent viscous and Joule dissipation on 3D magnetohydrodynamic radiating Eyring–Powell nanofluid streamline flow with convective conditions past a stretching sheet. The coupled nonlinear flow, thermal, and species phenomena equations are transformed into a system of coupled nonlinear ordinary differential equations through suitable similarity transformations with corresponding boundary conditions. The transformed dimensionless equations are then solved analytically with the Adomian decomposition method. A comprehensive study is conducted on the influence of sundry physical dimensionless parameters governing the flow velocity, temperature, and concentration distributions. For parameters of engineering interest, the computed numerical results are presented with the aid of tables. Furthermore, the present solutions agree with the earlier reported results in specific cases, and an excellent correlation is witnessed. The present analysis is of great interest germane to cooling of metallic plates, polishing of artificial heart valves, oil pipeline friction reduction in the oil industry, flow tracers, enhanced oil recovery, and separation processes in chemical industries and petroleum extraction.
Surgical emphysema is well known and many case reports have been published on this. Many authors have reported this as a complication post dentoalveolar treatment. Diffusion of air into facial planes and periorbital area during endodontic procedures has been rarely reported. The use of three way air syringe and forceful irrigation of root canal can lead to surgical emphysema of subcutaneous tissue planes in and around the teeth which are involved. This case report highlights one such complication seen during endodontic treatment, discusses aetiology, complications and conservative management of this dental office emergency.
Dens Invaginatus (DI) is a rare developmental anomaly which affects the tooth, which shows an infolding of enamel and dentine which extends into the pulp chamber and sometimes into the root. The aim of this case report was to describe its radiographic findings, to emphasize the bizarre morphology and the difficulties which are encountered in the diagnosis by using conventional radiographic techniques and the importance of computed tomography as a valuable diagnostic aid. Dens Invaginatus is clinically significant due to the possibility of an early pulpal involvement and the chronic periapical lesions are often associated with this anomaly without any clinical symptoms. Difficulties are encountered during the endodontic treatment, owing to the complex root canal anatomy; therefore, a proper radiologic evaluation by using different imaging modalities, is essential for its successful treatment.
The present study deals with the electrically conducting micropolar nanofluid flow from a vertical stretching surface adjacent to a porous medium under a transverse magnetic field. Eringen’s micropolar model is deployed for non-Newtonian characteristics and the Buongiorno nanofluid model employed for nanoscale effects (thermophoresis and Brownian motion). The model includes double stratification (thermal and solutal) and also chemical reaction effects, heat source, and viscous dissipation. Darcy’s model is employed for the porous medium and a Rosseland diffusion flux approximation for nonlinear thermal radiation. The nonlinear governing partial differential conservation equations are rendered into nonlinear ordinary differential equations via relevant transformations. An innovative semi-numerical methodology combining the Adomian decomposition method (ADM) with Padé approximants and known as ADM-Padé is deployed to solve the emerging nonlinear ordinary differential boundary value problem with appropriate wall and free stream conditions in MATLAB software. A detailed parametric study of the influence of key parameters on stream function, velocity, microrotation (angular velocity), temperature, and nanoparticle concentration profiles is conducted. Furthermore, skin friction coefficient, wall couple stress coefficient, Nusselt number, and Sherwood number are displayed in tables. The validation of both numerical techniques used, i.e., ADM and ADM-Padé, against a conventional numerical 4th order Runge–Kutta method is also included and significant acceleration in convergence of solutions achieved with the ADM-Padé approach. The flow is decelerated with greater buoyancy ratio parameter whereas microrotation (angular velocity) is enhanced. Increasing thermal and solutal stratification suppresses microrotation. Concentration magnitudes are boosted with greater chemical reaction parameter and Lewis number. Temperatures are significantly enhanced with radiative parameter. Increasing Brownian motion parameter depletes concentration values. The study finds applications in thermomagnetic coating processes involving nanomaterials with microstructural characteristics.
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