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 ).
If force acting on the body result in some traveled distance, then it is called work.
So, the formula for work done is given by:
The above formula can be written as:
There are three types of work which are described below:
Positive Work → If the angle between force and displacement is acute (0 < θ < 90).
Negative Work → If the angle between force and displacement is obtuse (90 < θ < 180).
Zero Work → If the angle between force and displacement is right (θ = 90).
Work Done By Variable Force:
If there is no constant force applied on an object for work done. The formula for work done by variable force is given by:
Work Done By Constant Force:
If constant force is applied on an object to displace from one point to other point but keep in mind it should be in a straight line. The formula for work done by constant force is given by:
Work Done By Weight:
The work done by an object having weight 'W' moving from 's1' to 's2' under the action of gravity is given by:
Work Done By Spring Force:
If we apply force on spring then it is elongated or compressed by a small distance 'ds'. The work done by the force on the spring in moving it from unstretched position to new final position is given by:
Applying 2nd equation of motion Ft = mat with at = v dv/ds, we get:
Since we know T = 0.5 x mass x square of velocity, so
Principle Of Work & Energy For System of Particles:
Principe of work and energy is applied on:
Enclosed region of space.
Work for which internal forces is zero.
For the system of particles, the principle of work and energy is given by:
There should be no energy loss due to particle interaction.
If there is energy loss → this equation cannot be used.
Types of Forces:
There are two types of forces which are described ahead:
Conservative Forces → If the work done by a force is independent of path followed, then it is called Conservative Forces. For e.g: weight, spring force, etc.
Non-Conservative Forces → Forces for which work done around a path is not zero and is dependent of path followed. For e.g: frictional force, etc.
Gravitational Potential Energy:
Energy due to height is called gravitational potential energy. This energy is given by:
Elastic Potential Energy:
The elastic potential energy (due to compression or elongation of spring) is given by:
Potential Function:
Potential function is the sum of gravitational and elastic potential energy. Its formula is given by:
Conservation of energy means: "Total energy of the system of particles remains constant if only the conservative forces doing work to the system".
Since, considering the work done by non-conservative energy is zero. So:
For the system of particles:
First we will learn statics and dynamics and then we will talk about why we need to learn these?
References:
Material from Class Lectures + Book named Engineering Mechanics Statics & Dynamics by R.C. Hibbeler (12th Edition) + from YouTube channel named Yiheng Wang for Engineering Dynamics Mechanics + my knowledge.
It depends on the scenario when and what equation to use. If there is a force acting on a body and displacement is shown then energy and work principle should be used. If there is a vertical displacement or no contact with horizontal during motion then use energy conservation. ******************************* For momentum and impulse equation: If there are non-conservative and conservative forces bith are present between bodies then use Impulse (Linear or Angular) and momentum principle. If there is only conservative forces present then use momentum conservation. Hope you will find your question's answer.
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...
Flexible Mechanical Elements Flexible mechanical elements are defined as, " I nelastic elements to transmit power over large distances " . Purpose of using FME's is to simplify the design of a machine and reduce the cost . Used as replacement for gears, shafts, bearings, other rigid power-transmission devices. It can absorb shock loads and vibrations. Positive Drive ⇛ no slip between driver and driven component. Element Life ⇛ no infinite life and should be replaced at the first sign of deterioration (check wear, aging, loss of electricity). Performance of Different Transmission Types Belts or Belt Drives Belts are used where center distance between shafts is large. Pulley axes must be separated by a certain minimum distance (depend upon belt type and size) to operate properly. Because of belt flexibility and damping capability ⇛ reduce the transmission of unwanted shock and vibration between shafts. Power and torque capacities are limi...
Mechanical Injection System: Used to inject fuel into the combustion chamber. Fuel speed > air speed at delivery point to atomize fuel. Amount of fuel delivered into the air stream going into the engine is controlled by pump which forces the fuel under pressure. A device used to initiate and control the combustion process is called Mechanical Injection System. Functional Requirements of Injection System: Metering of Fuel: Used to control fuel to meet speed and load requirements of the engine. Injection Timing: Have proper injection timing to obtain max. power, fuel economy and proper burning. It is done by Camshaft or Push rod (Rocker Arm) Mechanism . Proper Control of Injection Rate: To get desired heat release pattern during combustion. Proper Atomization of Fuel: Proper making of droplets to make best Air/Fuel mixture. Proper Spray Pattern: Distribution of droplets to ensure rapid mixing of fuel & air. Uniform Distribut...
When did i use conservation of energy and when i use principle of work and energy? I mean at what scenario?
ReplyDeleteIt depends on the scenario when and what equation to use.
ReplyDeleteIf there is a force acting on a body and displacement is shown then energy and work principle should be used.
If there is a vertical displacement or no contact with horizontal during motion then use energy conservation.
*******************************
For momentum and impulse equation:
If there are non-conservative and conservative forces bith are present between bodies then use Impulse (Linear or Angular) and momentum principle.
If there is only conservative forces present then use momentum conservation.
Hope you will find your question's answer.