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Based on Taylor Galerkin /pressure-correction (TGPC) finite element method, this work is concerned with numerical study for incompressible Newtonian cable coating flows. The fluid motion is described by using the Naiver-Stoke equations, which include two essential differential equations. One of them is the equation for conservation of mass and the other one is the equation of conservation of momentum equations.
finite element method --- Galerkin method --- surface tension --- cable coating
The Gradient energy coefficient ( ) in polymers and oligomers (a few segments) play an important role in polymer blending, wetting, coating, adhesion process, foaming and a comprehensive role in the description as well as understanding of many processes especially in innovation of new polymer with classification of materials. As a result, the main reason in this study appear which has how the gradient energy coefficient changes from bulk to surface, has been establishing the new equation that helped us to extract the correlation between gradient energy coefficient and different parameters. The gradient energy coefficient has been related with hole fractions, temperature and density. The relationships between the above-mentioned parameters are then drawn according to our model. Both Simha-Somcynsky (SS) and Cahn-Hilliard (CH) models are employed together to calculate the thermodynamic properties of cyclohexane, namely, the hole fraction in temperature range at 313-473 K various presures up to 150 Mpa. Our values for the average and maximum percentage deviation of the specific volume of cyclohexane are calculated as 0.0196% and 0.0678% respectively
lattice hole theory --- Chan-Hilliard --- gradien energy coefficient --- Simha-Somcynsky --- and surface tension
Experimental investigation was done using different instruments for the testing the properties of density, surface tension and viscosity in the case of pure and mixture system at the normal temperature of 25 oC and 1 atm. Excess volume was found to exhibit negative value at a mole fraction of 0.5. The deviation in the surface tension and viscosity were found of a positive value at the mole fraction value of 0.5. The experimental excess properties were correlated using the Redlich-Kister (RK) equation and showed an accepted standard deviation. The intermolecular interaction between acetone and isopropanol was found of negligible effect and showed a weakness in the hydrogen bonding according to the FTIR spectra for the mixture of acetone and isopropanol which agreed with the positive values of excess molar volume. Moreover, the values of surface tension and viscosity deviations were found of negative values for all the mole fraction range studied.
تمت الدراسه العمليه باستخدام اجهزه مختلفه لاختبار خواص الكثافه والشد السطحي واللزوجه للمكونات النقيه للسائل المدروس وكذلك للسائل الثنائي التركيب من الاسيتون والايزوبروبانول عند درجة حرارة 25 درجه مئويه وضغط جوي مقداره 1 ضغط جوي. لقد وجد ان قيمة الحجم المولي هي قيمة سالبه عند الكسر المولي الذي مقداره 0,5. بينما تم ايجاد قيم الانحراف في الشد السطحي والانحراف في اللزوجه عند الكسر المولي 0,5 وكانت قيم موجبه. تم ربط الخواص العمليه الزائديه بعضها مع البعض الاخر باستخدام معادلة ردلج كيستر وقد كانت النتائج ذات انحراف معياري مقبول. بواسطة تحليل المطياف الضوئي فقد تبين ان الترابط الجزيئي الداخلي لمكونات السائل الثنائي التركيب (من الاسيتون والايزوبروبانول) مهمول التاثير وايضا من خلال تحليل المطياف الضوئي لهذا المزيج فقد تبين الضعف في الاواصر الهيدروجينيه وهذا يتفق مع الحجم المولي الزائد.من ناحية اخرى فان قيم الشد السطحي وقيم الانحرافات في الشد السطحي و اللزوجه هي قيم سالبه لجميع الكسور الموليه المدروسه.
Acetone --- Density --- Isopropanol --- Viscosity --- Excess molar volume --- FTIR analysis --- Surface tension --- molecular interaction. --- اسيتون --- الكثافه --- الايزوبروبانول --- اللزوجه --- الحجم المولي الزائد --- تحليل المطياف الضوئي --- الترابط الجزيئي
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