Thermal radiation effect on heat and mass transfer across steady MHD flow of power-law nanofluid over a rotating disk
N.T. EL-Dabe1, H.A. Attia2, M.A.I. Essawy3,* , A.A. Ramadan4, A. H. Abdel-Hamid4
1Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, Egypt
2Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, 63415, Egypt
3Higher Technological Institute (HTI), 3rd zone, 7th section – P.O Box NO. 4 - 6th of October City, Giza, Egypt
4Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef - 62511, Egypt
Abstract
The steady magnetohydrodynamic flow of an incompressible non-Newtonian power law nanofluid due to a uniform rotation of an infinite disk is studied with heat and mass transfer. The thermal conductivity has been assumed to obey the same nonlinear rheological model of the viscosity function; as well as, the viscous dissipation has been comprised in the energy equation. The governing PDEs are reduced to a set of ODEs; using the generalized Von-Karman similarity transformations; for which finite difference numerical scheme is implemented based on its associated boundary conditions. The influence of the non-Newtonian fluid characteristics on the distributions of fluid velocity components, temperature and concentration of suspended nanoparticles has been analyzed. The significant effects of thermal radiation, Brownian motion and thermophoresis phenomenon on the
In thermodynamics, thermal energy refers to the internal energy present in a system due to its temperature. The concept is not well-defined or broadly accepted in physics or thermodynamics, because the internal energy can be changed without changing the temperature, and there is no way to distinguish which part of a system's internal energy is "thermal". Thermal energy is sometimes used loosely as a synonym for more rigorous thermodynamic quantities such as the (entire) internal energy of a system; or for heat or sensible heat which are defined as types of transfer of energy (just as work is another type of transfer of energy). Heat and work depend on the way in which an energy transfer occurred, whereas internal energy is a property of the state of a system and can thus be understood even without knowing how the energy got there.
The authors are S. H. Abo El-Nor, H. M. Khattab, S. M. Khalif, H. M. El-Sayed, O.H.
The hypothesis is that two people of different sizes will have a different temperatures after preforming an activity, this was proven after collecting data from the experiment. The first thing that was noticed in this experiment was the difference in Darryl and Faith's thermal mass temperatures. When looking at the data chart Darryl’s core body temperature was a few degrees higher than Faith’s. The temperatures were taken by using a surface thermometer stick. After the exercises were completed it was shown that after one of the exercises Faith's thermal mass was higher than Darryl's. The exercises that Faith's thermal mass exceled in was when her and Darryl were running up and down the stairs. When running up and down the stairs at different
Society is heavily reliant on fire. It provides warmth, lighting, and is used to prepare food. Fire allowed humans to move from the cave to the modern age. When it is used safely it is an invaluable tool but when it is abused or not used appropriately it destroys life and property. As society became more modern, so did the need for an organized fire department. Despite the best efforts from fire departments to educate the public about fire safety, the loss of life and property damage stills occurs to this day. When a fire occurs, fire departments suppress the fire and a fire investigator typically investigate the fire in order to attempt to determine the cause and origin. The investigator knows that fire dynamics is derived from the combined disciplines of physics, thermodynamics, chemistry, heat transfer, and fluid mechanics (Icove, DeHaan, & Haynes, 2013). They also must understand how a fires behavior is influenced by factors such as fuel loads, ventilation, and physical configuration of the room (Icove et al., 2013).
Houses use insulation to prevent heat loss in winter and prevent over heating in summer. People put insulation in between their roofs. This is often used when the roof in metal or tin which attracts heat and has makes houses hotter. This insulation stop heat from being able to transfer into the house making it hot in summer. This insulation also prevents heat from escaping the house in winter keeping the house warm. Houses also use glass which is more expensive but more efficient. This glass is made with two panels are vacuumed meaning that all of the air is sucked out between them and this all so prevents the heat transfer keeping the house cooler in summer and warmer in winter.
if there no flow, there is no differential temperature, the faster the gas flows the more heat gas molecules absorb
The amount of energy that is emitted from the light source is based on the temperature of the object. Radiation is a form of transferring heat that does not require any direct physical contact between the source of heat and the object receiving the heat. The electromagnetic form of radiation is called, infrared radiation, which is that passing of heat in empty space. No mass is exchanged and no medium is required during this process. Common examples of radiation found in everyday life is the sun rays giving of heat that effects the organisms that receives the energy of them indirectly or heat released from light bulb.
Mr. Perretto says the job of a science teacher is to make the abstract tangible. How does he do this?
Physics is a controlling factor in our vast universe. It literally controls how our reality operates and how our existence came to be in this universe, it actually it what made our universe. When you think about physics you probably think about friction and forces but it is a much broader idea. Physics is what controls how the atoms that make up everything work with each other to form the things we see, the things we use, and even ourselves. Physics is a fundamental basis of our idea of the universe; yes there could be another parallel universe that has a different set of laws of physics but if it exists and we discover it
Hyperthermia is a cancer treatment wherein the cancerous cells are killed by electromagnetic heating of malignant tumor tissue. This study is focused on the effect of using a 432 MHz antenna heating source for hyperthermia treatment of tissue. Temperatures of 42 °C to 46 °C are required to kill the cancer cells while the healthy tissue is unaffected. The Pennes Bio-Heat Equation is used to obtain a numerical solution of the tissue temperature profile. A 1-D analytical solution required to make quick calculation is derived and compared with the 2-D numerical solution solved by Finite Difference Method (FDM). Also, the effect of variable tissue properties in the tissue region of tumor and healthy tissue is determined and the effect of a large blood vessel is also determined.
The Effect of the Surrounding Medium of a Fluid on its Rate of Heat Loss was conducted by the experimenter. The sciences behind the investigation include the five primary methods of heat loss and the characteristics of the fluid encompassing mediums such as being good conductors of thermal energy and having low emissivity. The purpose of the experiment was to establish the best medium for sustaining the temperature of a fluid. The experimenter hypothesized that if a liquefied substance is placed in Styrofoam, metal, glass, and thermoflask medium, then the substance’s rate of heat loss will be slowest in the thermoflask medium. To conduct the experiment, the investigator poured 90 degrees Celsius water into the four mediums, Styrofoam, metal, glass, and thermoflask, then recorded the temperatures after 30 minutes. The result temperatures were divided by 30 to calculate the degrees Celsius lost per minute. The hypothesis turned out to be correct with thermoflask losing heat the slowest at a rate of 1.01 degrees Celsius lost per minute. The glass medium had the fastest rate of heat loss at a rate of 1.26 degrees Celsius lost per minute. There was an explanation behind why the results came out the way they did. According to the Stefan-Boltzmann law, materials with low emissivity lose radiated heat slowly. Thermoflasks have a low emissivity which gives reason to why the thermoflask was more efficient at sustaining a temperature of a fluid. The glass’ speedy rate of heat loss was
In day-to-day life it is very common to experience phenomenon’s involving heat or heat transfer. For instance, hand warmers used to warm fingers while skiing and ice packs used to reduce swelling of an injury, involve heat exchange. What is responsible for this heat exchange? Looking at thermochemistry may give an explanation. Thermochemistry is a branch of chemistry focusing on heat. Specifically, it studies heat released or absorbed in a chemical reaction. 1 Reactions releasing heat are referred to as exothermic, while reactions absorbing heat are endothermic. 2
Heat is a form of energy that is transferred between two substances at different temperatures. The flow of the energy is from the object of higher temperature to the object of lower temperature. The heat is measured in units of energy, usually calories or joules. Temperature on the other hand, is how cold or hot an object is. The temperature is the average kinetic energy per molecule of a substance. This is measured in degrees on the Celsius or Fahrenheit or in Kelvins.
Kinetic theory can be describes as a scientific theory of the movement of an object. Kinetic theory relates to capacity of a subject to do work on another object due to their motion. Kinetic theory of matter explains that the same is compose of tiny pieces of, atoms or molecules in continues motion. The theory states that the actions of matter inside an object and the actions heat generates. Kinetic theory explains as well the temperature transition by the means of transmission, where thermal powers shows to be conducted throughout matter, heating up cooler
Here, u signifies the temperature of the entire body and ∝ signifies the thermal diffusivity. Furthermore, the differential heat equation above must respect the following boundary conditions: