View Factor Orientation (or View factor or shape factor) plays an important role in radiation heat transfer. View factor is defined as, "fraction of radiation leaving surface 'i' and strike 'j' ". Summation Rule (View Factor) If there is are similar surfaces 'i' and 'j' , then: Blackbody Radiation Exchange Radiation Exchange between Opaque, Diffuse, Gray surfaces in an Enclosure 1. Opaque 2. Surfaces 3. Two surface enclosure Radiation Shield It is used to protect surfaces from radiation act like a reflective surface. References: Material from Class Lectures + Book named Fundamentals of Heat and Mass Transfer by Theodore L. Bergman + My knowledge. Photoshoped pics are developed. Some pics and GIF from Google. Videos from YouTube ( Engineering Sights ).
It is defined as, "a passage through which heat energy of steam is converted to kinetic energy by producing a high velocity jet of steam which is used to drive a steam turbine".
Nozzle ↣ Increase velocity at the expense of pressure drop.
Throat ↣ Produce steam jet with high velocity to drive steam turbine.
Types of Nozzles:
Convergent Nozzle ↣ Cross-section decreases continuously from entrance to exit.
Divergent Nozzle ↣ Cross-section increases continuously from entrance to exit.
Convergent-Divergent Nozzle ↣ Cross-section first decreases from entrance to throat, then increase from its throat to exit.
Stagnation State
For a high speed flows (in jet engines), P.e. is negligible but K.e. is not. It is convenient t combine enthalpy and K.e. of the fluid into a single term called Stagnation or Total Enthalpy.
ho = h + 0.5 V^2
Total or Stagnation State ↣ state in which flow is brought to rest isentropically in steady flow, zero adiabatic work output.
Dynamic Temperature ↣ temperature change when molecules are moving.
Velocity of Sound & Mach Number
Sound wave is defined as, "a small pressure disturbance that propagates through a states (gas, liquid, solid)".
Velocity of wave depends on properties of the medium.
Mach Number ↣ the ratio of actual velocity and the velocity of sound.
If M < 1 ↣ Subsonic Flow.
If M = 1 ↣ Sonic Flow.
If M > 1 ↣ Supersonic Flow.
Variation of Fluid Velocity with Flow Area
The last equation concludes that:
Stagnation Property Relations (Critical Pressure Ratio & Choked Flow)
Effect of Back Pressure in Convergent Nozzle
Back Pressure is defined as, "the pressure applied at the nozzle discharge region".
Condition of Flow ↣ pressure difference between inlet and outlet.
Choked Flow ↣ when nozzle operates with maximum mass flow (done by reducing back Pressure to critical pressure).
Critical Pressure ↣ pressure of fluid at a location in the nozzle where M=1 (at throat).
TAPING CORRECTIONS There are two types of corrections depending upon the type of errors in tape due to the different conditions. 1. Systematic Errors : Slope Erroneous tape length Temperature Tension Sag 2. Random Errors : Slope Alignment Marking & Plumbing Temperature Tension & Sag 1. Temperature Correction It is necessary to apply this correction, since the length of a tape is increased as its temperature is raised, and consequently, the measured distance is too small. It is given by the formula, C t = 𝛼 (T m – T o )L Where, C t = the correction for temperature, in m. 𝛼 = the coefficient of thermal expansion. T m = the mean temperature during measurement. T o = the tempe...
Solid Mechanics OR Mechanics of Materials OR Strength of Materials: It is the study of mechanics of body i.e. forces and their effects on deformable solids under different loading conditions. Deformable Body Mechanics: It is the study of non-rigid solid structures which deform under load. Deformation/Distortion ⇾ change of shape and size OR have some relative displacement or rotation of particles. It happens when we apply combined load. Rigid Body Motion ⇾ Translation or rotation of particles but having constant distance between particles. Since deformation occur at particular load. Below this load, every body is considered as rigid body . Types of Load: Point Load ⇾ Load apply on a single point i.e. concentrated load. Uniformly Distributed Load (UDL) ⇾ Load remains uniform throughout an area of element like beam. Varying Distributed Load (VDL) ⇾ Load varies with length with constant rate. Moment ⇾ It measures the tend...
Strain Transformation Principal Strain and stresses can occur in the same directions. Material Properties Relation (Young, bulk Rigidity Modulus) ⇼ Hooke's Law General State of Strain ⇼ Є X , Є Y , Є Z and ૪ X , ૪ Y , ૪ Z . Stress (normal or shear)/ Strain (normal or shear) ⇼ vary with element orientation. Transformation equations for Plane strain derived from: Interpretation of Experimental measurements Represent in graphical form for plane strain (Mohr's Circle). Geometry and independent of material properties. Mohr's Circle It is defined as., " A graphical method for determining normal and shear Shear stresses without using the stress transformation equations " . While considering the circle CCW ⇼ Shear strain positive upward & Normal strain positive towards right. The construction of Mohr's circle (with normal and shear stresses are known) is quite easy which include following steps: Draw a set o...
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