The BEK family of flows have many important practical applications such as centrifugal pumps, steam turbines, turbo-machinery and rotor-stator devices. The Bödewadt, Ekman and von Kármán flows are particular cases within this family. The convective instability of the BEK family of rotating boundary-layer flows has been considered for generalised Newtonian fluids, power-law and Carreau fluids. A linear stability analysis is conducted using a Chebyshev collocation method in order to investigate the effect of shear-thinning and shear-thickening fluids for generalised Newtonian fluids on the convective Type I (inviscid crossflow) and Type II (viscous streamline curvature) modes of instability. The results reveal that shear-thinning power-law fluids have a universal stabilising effect across the entire BEK family of flows. However, the convective instability characteristics for the shear-thinning and shear-thickening Carreau fluids are affected by the value of the relaxation parameter k. The results reveal that Shear-thinning Carreau fluids have a small destabilising effect, while shear -thickening fluids have a slight stabilising effect on the Type I and Type II mode for the BEK family of flows when k =100. On the other hand, shear-thinning and shear-thickening Carreau fluids are found to have stabilising and destabilising effect, respectively for optimal relaxation value ko. The results are presented in terms of neutral curves and growth rates. Furthermore, an energy analysis is presented to gain insight into the underlying physical mechanisms behind the stabilising effects of generalized Newtonian fluids. In conclusion, the use of shear-thinning power-law and Carreau fluids with optimal value ko can be recommended to reduce skin-friction drag in enclosed rotor-stator devices for the entire BEK family of flows.
In The Name of Allah Most Gracious Most Merciful
It is no secret to everyone that the endowment is an important nucleus for the prosperity of Islamic civilization, especially in the fields of education, health, economy, and defensive military actions that fall within the door of jihad, and so on. Al-Ashraf, Qom Al-Quds, Cairo, and other parts of the Islamic world. What we will see in the research.
Double drum dryer is operated for producing pregelatinized maize starches using feed starch slurries of different
solids(7, 10 and13 g/100 g )content . Steam pressure (2,3,and 4 bar), the level of pool between the drums (4,7,and 10
cm) , and speed of drums rotation (3,4,and 6 rpm) are varied together with the feed solids content in a practical range of
values. The response of the dryer is registered by measuring several output variables, i.e. external drum temperature,
product moisture content, mass flow rate.
The Symbolic Interaction of the Kindergarten
The costume is a language that has carved itself into a path that is transformed over time in line with the development of human thought. The child theater is a form of communication between the individual and his society. The costume in the child's theater is seen as a sign of personality and identity. It is a model of communication that uses many of the world systems to which it belongs. Directed to the child by invoking the creative and creative energies of the designer in the formation of the children's theater. The second topic was the communicative function of secondary signs of uniforms and patterns of their transformations. The theoretical framework of the indicators included the on the research community. And his tools in the an
... Show MoreThe process of discovering pharmaceuticals is of great importance in our contemporary life, in a way that without life becomes almost impossible, as this process is the first building block in the field of pharmaceutical industries to search for new methods and means of treatment and treatment. This process results in the commitment of the discoverer to a set of obligations in the face of the volunteer. This responsibility or negation of intentional infliction of damage by means of what is known in the law as methods of paying liability
This research deals with the most important grammatical views of the science of the media of the Arab and Andalusian grammar is: Abu Ali al-Shloubini, who filled his name the pages of important grammatical books such as: (singer Al-Labib) Ibn Ibn Hisham, and the book (like and analogues), and (Hama Alhwama) for Suyuti, and other books The task, I have divided my research into the topics: I talked in the first section on his life and his biography and his works, and the second topic: it included his independent opinions and the third section contained the most prominent views selected The fourth and final topic, was his responses to grammarians, and concluded my research with the most prominent findings Research to them, which was the mos
... Show MoreThis study aims to reach the right of governorates that are not organized in a region to impose local legislation, including tax legislation, and the extent of the constitutionality of this legislation and its consistency with constitutional texts and legal rules. The imposition of local taxes finds its constitutional and legal basis in the Iraqi constitution for the year 2005 and the law of governorates not organized in a region.The imposition of local taxes corresponds to the principle of tax legality, which is reflected in the necessity of issuing tax laws from a competent authority, whether this authority is federal, regional or local. Rather, it is sufficient that it be competent
Abstract
The phonetic replacement is the process of putting a sound or a linguistic
syllable instead of another in one word that results in changing its meaning . It is one
way of vocabulary varionsness and discrimination because replacement among the
sounds of one expression and changing its image lead to change its meaning , and
accordingly , each replaced sound has its own linguistic value that distinguishes it . In
other words , the phonetic replacement is based on system of phonemic change
which is a general phenomenon in all languages . The linguistic system doesn’t stand
straight for word unless it is based on different standards that work on variousness ,
assortment and relating the phonetic change wi
The research included the introduction to the research and its importance as knee joint is an important joint in the human body that is prone to injury. One such injury is knee roughness injury that occurs as a result of the stress of the knee joint and age. The importance of examining the need for the use of rehabilitation exercises, especially in the watercourse system, is highlighted by the fact that the aquatic environment is one of the most important factors helping to alleviate pain and rehabilitate the knee joint and thereby improve the mobility of those with knee roughness. The problem of research is that rehabilitation exercises have been developed in the watercourse system on the basis of scientific bases with a repetitive and sys
... Show MoreThe research aims to identify intelligence spiritual among a sample of students Baghdad University as well as to identify the differences between students in intelligence spiritual according to variable type (male - female), and variable area of study (Science - a human) and variable (First grade - fourth grade), The research sample consisted of (300) students, were applied scale search - a spiritual Intelligence Scale (prepared by the researcher), has resulted in the search results for: -
The students of the University of Baghdad (sample) enjoyed a high level of spiritual intelligence.
- There are no differences between males and females in the spiritual intelligence.
- There