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The General relationship between shear stress (ζ) and velocity Gradient ( du/dy ) for a fluid can
be written as
be written as
ζ = A ( du/dy )n + B
If n < 1, B = 0
Then the fluid known as
If n < 1, B = 0
Then the fluid known as
- a)Bingham plastic
- b)Dialatent fluid
- c)Pseudo plastic
- d)Newtonion fluid
Correct answer is option 'C'. Can you explain this answer?
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The General relationship between shear stress (ζ) and velocity Gr...
Τ) and shear strain (γ) is given by the equation τ = Gγ, where G is the shear modulus or modulus of rigidity. This equation states that the shear stress is directly proportional to the shear strain, and the constant of proportionality is the shear modulus. The shear modulus is a measure of the material's resistance to deformation under shear stress. The relationship between shear stress and shear strain is linear for small deformations, but nonlinear for larger deformations. The shear modulus is a fundamental property of materials, and it varies depending on the nature of the material, its microstructure, and the external conditions such as temperature, pressure, and loading rate. The shear modulus is an important parameter in many engineering applications, including the design of structures and the analysis of materials.
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The General relationship between shear stress (ζ) and velocity Gr...
Τ) and shear strain (γ) is given by the shear modulus (G), which is a measure of a material's stiffness in response to shear stresses. It is defined as the ratio of shear stress to shear strain and is expressed as:
G = τ/γ
The shear modulus is a fundamental property of a material and is related to other mechanical properties such as Young's modulus (E) and Poisson's ratio (ν) through the following relationships:
G = E/(2(1+ν))
ν = E/(2G) - 1
The shear modulus is important in the design and analysis of structures and materials, especially in applications involving torsion, bending, or shear loading. Materials with high shear modulus are stiffer and more resistant to deformation under shear stresses, while those with low shear modulus are more flexible and prone to deformation. Some examples of materials with high shear modulus include metals, ceramics, and composites, while rubber and other elastomers have low shear modulus.
G = τ/γ
The shear modulus is a fundamental property of a material and is related to other mechanical properties such as Young's modulus (E) and Poisson's ratio (ν) through the following relationships:
G = E/(2(1+ν))
ν = E/(2G) - 1
The shear modulus is important in the design and analysis of structures and materials, especially in applications involving torsion, bending, or shear loading. Materials with high shear modulus are stiffer and more resistant to deformation under shear stresses, while those with low shear modulus are more flexible and prone to deformation. Some examples of materials with high shear modulus include metals, ceramics, and composites, while rubber and other elastomers have low shear modulus.
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The General relationship between shear stress (ζ) and velocity Gradient ( du/dy )for a fluid canbe written asζ =A ( du/dy )n+ BIf n < 1, B = 0Then the fluid known asa)Bingham plasticb)Dialatent fluidc)Pseudo plasticd)Newtonion fluidCorrect answer is option 'C'. Can you explain this answer?
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