Abstract
The Penne’s bio-heat transfer equation can be used with normal mode technique to describe the characterizing of the temperature fluctuation in muscles. The analytical solutions of heating pattern is obtained in a closed-form when the propagation of ultrasonic waves in tissue system are taken into consideration. The impact of external electromagnetic field is used to investigate the influence of temporal and spatial distributions of temperature. The numerical simulations during the 2D and 3D graphs can be obtained for human tissue in simplified geometry in the context of the derived method. The normal mode analysis is used as a mathematical technique to solve the bioheat transfer equation analytically with some conditions to get the complete solution of the main variables in this model.
Highlights
Increased in the present uses of technological devices and equipment such as computers, electrical appliances and home and led electric and magnetic fields emanating from these devices to the increasing environmental pollution mail which plays a major role in a rapid decrease in the intensity of the magnetic field of the Earth and human creatures adapted itself with the continuing decline in magnetic energy, but in turn lost a similar amount of capacity of vital functions within objects
The magnetism is one of the fundamental forces, all of human civilization was born and lived her life under the magnetism arising from the Earth’s magnetic field, it is known that the space is filled with cosmic rays in the form of particles of nuclear high-power consists of the nuclei of atoms of elements light and heavy electrons moving at high speeds emitted from the sun, stars and galaxies across the universe
Analytical solutions based upon normal mode analysis for themoelastic problem in solids have been developed and utilized
Summary
Increased in the present uses of technological devices and equipment such as computers, electrical appliances and home and led electric and magnetic fields emanating from these devices to the increasing environmental pollution mail which plays a major role in a rapid decrease in the intensity of the magnetic field of the Earth and human creatures adapted itself with the continuing decline in magnetic energy, but in turn lost a similar amount of capacity of vital functions within objects. The magnetism is one of the fundamental forces, all of human civilization was born and lived her life under the magnetism arising from the Earth’s magnetic field, it is known that the space is filled with cosmic rays in the form of particles of nuclear high-power consists of the nuclei of atoms of elements light and heavy electrons moving at high speeds emitted from the sun, stars and galaxies across the universe He explains that the cosmic rays are radiation serious are booked together in layers of the atmosphere under the affected spin in the belts , “Van Allen” radiation , which revolve in which ions high energy coming from space just between 4 thousand to 16 thousand kilometers from the Earth's surface and occur reservations for these rays thanks to the influence of the magnetic field of the planet, according to information monitored by the U.S satellite “Explorer 1” in 1958, when he came with certain information about the this pouring barrage of deadly radiation surging in space cards awesome! The soft tissue is used as a viscoelastic medium with different relaxation times in the bioheat transfer equation
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