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What is hydrostatics?
Also known as fluid statics, hydrostatics is the study of fluids at rest. It is the branch of fluid mechanics that deals with the condition of the equilibrium of:
- Submerged and floating body fluids at hydrostatic equilibrium
- The pressure in a fluid
- The pressure exerted by a fluid on an immersed body
Hydrostatics studies the conditions under which fluids are in a stable equilibrium. According to our fluid mechanics assignment solvers, it works in opposition to fluid dynamics, which is the study of fluids in motion. Hydrostatics is a fundamental concept in hydraulics, the engineering for equipment. It is also relevant in fields such as geophysics and astrophysics where it is used to explain plate tectonics and anomalies in the earth’s gravitational field. Besides, hydrostatics also offers explanations to several phenomena that we experience in our everyday life like:
- Why atmospheric pressure changes with altitude
- Why the surface of the water is always level
- Why oil and wood float on water
Hydrostatics’ simplified Navier Stokes equation is a vector equation that can be broken down into three components pressure, density, and gravity. It works on the convention that gravity always works in the negative z-direction. The easiest form of hydrostatics equation can be given by:
Pbelow = Pabove + Pg
To understand this equation, think of a scuba diver. The pressure on the diver’s ears will increase as the diver goes down. Meaning, the pressure below is greater than the pressure above.
Hydrostatics rules that you should remember
If Z1 =Z2, then P1 = P2. This equation is true if one can draw a continuous line through the same fluid from point one to point two
Atmospheric pressure is available in any free surface that is open to the atmosphere
It is assumed that atmospheric pressure is constant in all elevations in most practical problems
Across a flat fluid-fluid interface, the pressure is always constant
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Understanding Prandtl’s velocity distribution
L Prandtl was a brilliant German engineer and scientist. He came up with an approach to the movement of fluids in the presence of viscosity. His approach was based on the concept of logarithmic relationship that he better explained using a curve. Prandtl’s curve highlights the distribution of longitudinal velocities along a transversal axis. While this curve was initially meant for rugose tubes, it was later extrapolated to suit turbulent channels.
What is the nature of the Prandtl's curve? Well, the curve can be considered a simplified representation of a random function. In other words, the infinite set of magnitudes related to the possible outputs of that function. Prandtl’s velocity distribution can be computed if these relations are known:
- Mixing length ‘L’
Near the boundary, Prandtl assumed that:
L = Ky Where K is the Karman constant.
Prandtl's equation says that in the case of a turbulent flow, velocity varies directly with logarithmic nature. This equation is widely known as Prandtl’s universal velocity distribution for turbulent flow in both rough and smooth pipes.
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Our help with fluid mechanics assignment service caters to all topics associated with this subject
The concepts of fluid mechanics are employed in several branches of studies. Since the definition of fluid encompasses gases, liquids, and plasma, it can be applied in various disciplines like:
- Mechanical engineering
- Civil engineering
- Chemical engineering
We are associated with professionals from these disciplines who can provide you with premier quality answers to your intricate fluids mechanics assignment. We know that for you to secure the perfect grade, your assignment must be handled by an expert. Our pool of talented fluid mechanics stalwarts do everything possible to make sure that you ace your assignment. Feel free to avail our help with fluid mechanics assignment if you are struggling with any of these concepts:
Boundary layer: In fluid mechanics, the boundary layer is the layer of a flowing liquid or gas that is in contact with the surface of the pipe. The fluid that is in contact with the surface is often subjected to shearing forces. Also, provided that the fluid is in contact with the surface, there is a full range of velocities that exist in the boundary layer.
Newtonian and non-Newtonian fluids: Newtonian fluids are named after the great physicist Sir Isaac Newton who described their flow behavior using a simple linear relation between shear rate and shear stress. This relationship is what is today known as Newton's law of viscosity. In this law, the proportionality constant is the viscosity of Newtonian fluids. On the other hand, non-Newtonian fluids are those whose viscosity is dependent on the shear rate. Most fluids are non-Newtonian fluids. Their relationship between shear rate and shear stress can either be linear or non-linear.
Aerodynamics: Aerodynamics can be defined as the science that tries to explain the impact of moving air on solid bodies placed in its flow field. Many fluid mechanics concepts and equations, especially those in fluid dynamics are applied in aerodynamics. This includes the governing equations of turbulence, the theory of boundary layer, and the ideal gas assumption.
Archimedes’ principle: This is the physical law of buoyancy that states that any body that is fully or partially submerged in a fluid is acted upon by an upward force. The magnitude of this force is equal to the weight of the fluid that is displaced by the immersed body. The volume of the object fully immersed in the fluid is equal to the volume of the displaced fluid.
Combined gas law: This law is a combination of three gas laws:
- Gay-Lussac’s law
- Charles’ law
- Boyle’s law
The combined gas law states that the ratio of the product of the volume, pressure, and absolute temperature of a gas is equal to a constant. This law works when everything apart from pressure, volume and temperature are held constant.
We are acquainted with the course content of fluid mechanics. We have professionals who excel in other topics such as:
|Basic concepts of fluid mechanics (fundamental terms, fluids and their properties, etc.)||Euler’s equation of fluid statics||Relative statics of fluid constant acceleration and rotation
|Application of Bernoulli’s equation||Fluid kinematics||Hydraulic design of a pipeline|
|Reynold’s stress experiment||Laminar and turbulent flow||Ideal fluid flow|
|Forces of hydrostatic pressure||Euler and Lagrangian specification of fluid flow||Nikuradse experiments|
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