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Encyclopedia > Shear rate

Shear rate is a measure of the rate of shear deformation: Figure 1. ...



 dot gamma_{xy}=frac {partial v_x} {partial y} + frac{partial v_y} {partial x}


For the simple shear case, it is just a gradient of velocity in a flowing material. The SI unit of measurement for shear rate is sec-1, expressed as "reciprocal seconds" or "inverse seconds."[1] Simple shear Simple shear is a special case of deformation of a fluid where only one component of velocity vectors has a non-zero value: And the gradient of velocity is perpendicular to it: , where is the shear rate and: The deformation gradient tensor for this deformation has only one... For other uses, see Gradient (disambiguation). ... In physics, velocity is defined as the rate of change of displacement or the rate of displacement. ... The International System of Units (symbol: SI) (for the French phrase Système International dUnités) is the most widely used system of units. ...


For a Newtonian fluid wall Shear stress (τw) can be related to shear rate by tau_{w} = {dot gamma_{x} mu}, where μ is the Viscosity of the fluid. A Newtonian fluid (named for Isaac Newton) is a fluid that flows like water—its shear stress is linearly proportional to the velocity gradient in the direction perpendicular to the plane of shear. ... Shear stress is a stress state where the stress is parallel or tangential to a face of the material, as opposed to normal stress when the stress is perpendicular to the face. ... Viscosity is a measure of the resistance of a fluid to deform under shear stress. ...


References


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