In view of this, many investigators have presented many non-Newtonian fluid models have been developed by several researchers to explain the relationship between the stress and the rate of deformation tensors. Keeping these in mind, a number of analytical, numerical and experimental studies on the peristaltic transport problems with different fluids have been reported by several authors under different situations with reference to physiological and mechanical situations. In particular, several authors [7-13] have used many methods (like Analytical method, Perturbation method, Adomian decomposition method, Differential transform method, Shooting method, NDSolve and Homotopy perturbation method) to solve the higher order non-linear partial differential equations which are involved in the peristaltic transport problems. In many bio-mechanical studies, porous medium has significant influence on the transport of fluids. This applies more specifically to vessels impeded by clots, highly perfused skeletal tissues, tumors and soft connecting tissues.
As we use various aspects of both the methodologies, the mixed research methodology has several advantages. This methodology offers multiple ways to approach the problem faced by the researchers. Generalizing the qualitative data and analyzing the unexpected data that emerge out of the research are the key aspects of the Mixed Research Methodology. Since it infuses the qualitative and quantitative ways, data resources like case studies, articles, interviews and surveys are combined in mixed research methodology. Mixed Methodology preferred where researchers are capable to gather aspects including data research and assimilation.
Modeling of Contact Angle for a Liquid in Contact with a Rough Surface When a solid is in contact with liquid, the molecular attraction will reduce the energy of the system below that for the two separated surfaces. This is expressed by the Dupré equation Figure-1 2.1 Wenzel Model: The Wenzel model (Robert N. Wenzel 1936) describes the homogeneous wetting regime, as seen in Figure 2, and is defined by the following equation for the contact angle on a rough surface. where is the apparent contact angle which corresponds to the stable equilibrium state (i.e. minimum free energy state for the system). The roughness ratio, r, is a measure of how surface roughness affects a homogeneous surface.
• Using the calculated values plot a graph between log (Re) and log (f). • Further, using Prandtl and Karman’s formula for rough pipes substitute the value for Reynolds’ number and friction factor and hence, find the value of pipe roughness ks. RESULTS After tabulating the obtained results, we can observe the value of friction factors for each flow rate are as follows: And we obtain the following log (Re) vs. log (f) graphs for Laminar flow: And for Turbulent
Modern studies have shown the improvement of certain brain areas that overall control emotional regulation and all types of processing control. Current studies affirm that long-term improvements in the brain are correlated with any number of steady mindfulness practices. Meditation is a life-changing practice developed by and for humans to better understand their mind, body, and purpose. The manner in which a vast majority of humans
Forensic DNA analysis continues to advance owing to development of new technologies. Addition of new informative markers to existing panel can improve discrimination power and accuracy. Next Generation Sequencing technologies (NGS) can bring new offers. Firstly, higher throughput which help in reducing significant DNA backlog in forensic laboratories. Secondly, parallel analysis became possible with NGS which can greatly improve the throughput (one run to all markers) and discrimination power.