Fluid mechanics and hydraulics miscellaneous

Fluid mechanics and hydraulics miscellaneous

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Fluid Mechanics and Hydraulics

Fluid mechanics and hydraulics miscellaneous
  1. The relation that must hold for the flow to be irrotational is








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    Let us consider a steady two dimensional flow of an ideal fluid in a rectangular cartesian coordinate system. The velocity field is given by,
    V = i→ u t j→ v
    Hence the condition of irrotationality is

    ⇒
    ∂v
    		 −
    ∂u
    		 = 0
    ∂x∂y

    Correct Option: A

    Let us consider a steady two dimensional flow of an ideal fluid in a rectangular cartesian coordinate system. The velocity field is given by,
    V = i→ u t j→ v
    Hence the condition of irrotationality is

    ⇒
    ∂v
    		 −
    ∂u
    		 = 0
    ∂x∂y

  1. A horizontal bed channel is followed by a sleep bed channel as shown in the figure. The gradually varied profiles over the horizontal and steep beds are








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    Second slope is more than first, therefore profiles are draw downs or 2nd profiles
    ∴ H2 and S2.

    Correct Option: A

    Second slope is more than first, therefore profiles are draw downs or 2nd profiles
    ∴ H2 and S2.

  1. A inert tracer is injected continuously from a point in an unsteady flow field. The locus of locations of all the tracer particles at a an instance of time represents








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    Path line: Live traced by a single fluid partide as it moves over a period of time Streamtubes: Formed by group of streaklines

    Correct Option: D

    Path line: Live traced by a single fluid partide as it moves over a period of time Streamtubes: Formed by group of streaklines

  1. A inert tracer is injected continuously from a point in an unsteady flow field. The locus of locations of all the tracer particles at a an instance of time represents








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    Path line: Live traced by a single fluid partide as it moves over a period of time Streamtubes: Formed by group of streaklines

    Correct Option: D

    Path line: Live traced by a single fluid partide as it moves over a period of time Streamtubes: Formed by group of streaklines

  1. A steady flow occurs in an open channel with lateral inflow of q m³ /s per unit width as shown in the figure. The mass conservation equation is








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    Mass concentration equation is the continuity equation.

    In a distance ∂x, change in dischargein ∂Q

    ∴
    ∂Q
    		 = q
    ∂x

    ∴
    ∂Q
    		 − q = 0
    ∂x

    Correct Option: C

    Mass concentration equation is the continuity equation.

    In a distance ∂x, change in dischargein ∂Q

    ∴
    ∂Q
    		 = q
    ∂x

    ∴
    ∂Q
    		 − q = 0
    ∂x