بررسی رفتار رئولوژیکی سوسپانسیون های حاوی سیال قانون توانی با استفاده از ترکیب روش شبکه بولتزمن و نمایه هموار

در ﻣﻄﺎﻟﻌﻪ ﺣﺎﺿﺮ، از ﯾﮏ اﻟﮕﻮرﯾﺘﻢ ﻋﺪدی ﺟﺪﯾﺪ ﺑﺮﻣﺒﻨﺎی ﺗﺮﮐﯿﺐ روش ﺷﺒﮑﻪ ﺑﻮﻟﺘﺰﻣﻦ و ﻧﻤﺎﯾﻪ ﻫﻤﻮار ﺑﺮای ﺑﺮرﺳﯽ ﺣﺮﮐﺖ ذرات داﯾﺮه ای ﺷﮑﻞ ﻣﻌﻠﻖ درون ﺳﯿﺎل ﻏﯿﺮﻧﯿﻮﺗﻨﯽ ﻗﺎﻧﻮن ﺗﻮاﻧﯽ در ﺟﺮﯾﺎن ﺑﺮﺷﯽ اﺳﺘﻔﺎده ﺷﺪه اﺳﺖ. در اﺑﺘﺪا ﭘﺮوﻓﯿﻞ ﺳﺮﻋﺖ ﺳﯿﺎل در ﻣﻘﺎدﯾﺮ ﻣﺨﺘﻠﻒ اﻧﺪﯾﺲ ﻗﺎﻧﻮن ﺗﻮاﻧﯽ (n) آﻧﺎﻟﯿﺰ ﮔﺮدﯾﺪ و ﻧﺘﺎﯾﺞ اﯾﻦ ﮐﺎر ﺑﺎ ﻧﺘﺎﯾﺞ ﻋﺪدی ﺑﻪ دﺳﺖ آﻣﺪه از ﺗﺤﻘﯿﻘﺎت ﮔﺬﺷﺘﻪ ﻣﻘﺎﯾﺴﻪ ﺷﺪ. در اﯾﻦ ﺗﺤﻘﯿﻖ، رﻓﺘﺎر رﺋﻮﻟﻮژﯾﮑﯽ ﺳﻮﺳﭙﺎﻧﺴﯿﻮن ﺑﺎ ذرات داﯾﺮه ای ﺷﮑﻞ در دو ﺣﺎﻟﺖ ﺑﺎ اﻧﺪازه ﯾﮑﺴﺎن و اﻧﺪازه ﻫﺎی ﻣﺘﻔﺎوت ﮐﻪ ﺑﻪ ﺻﻮرت ﺗﺼﺎدﻓﯽ ﻣﯿﺎن دو ﺻﻔﺤﻪ ﻣﻮازی در ﺟﺮﯾﺎن ﺑﺮﺷﯽ ﻗﺮار ﮔﺮﻓﺘﻪ اﻧﺪ، در ﻣﺤﯿﻂ رﻗﯿﻖ و ﻏﻠﯿﻆ ﺑﺮﺷﯽ ﺑﺎ اﺳﺘﻔﺎده از ﻣﺪل ﺷﺒﮑﻪ ﺑﻮﻟﺘﺰﻣﻦ، ﻣﻮرد ﺑﺮرﺳﯽ ﻗﺮار ﮔﺮﻓﺖ و وﯾﺴﮑﻮزﯾﺘﻪ ﻣﺆﺛﺮ در اﻋﺪاد رﯾﻨﻮﻟﺪز و ﮐﺴﺮﻫﺎی ﺣﺠﻤﯽ (φ) ﻣﺨﺘﻠﻒ ﻣﺤﺎﺳﺒﻪ ﮔﺮدﯾﺪ. ﺑﺮای اﻋﺘﺒﺎرﺳﻨﺠﯽ، ﻧﺘﺎﯾﺞ وﯾﺴﮑﻮزﯾﺘﻪ ﻣﺆﺛﺮ ﻧﺴﺒﯽ ﺑﺎ ﻧﺘﺎﯾﺞ ﮐﺎرﻫﺎی ﮔﺬﺷﺘﻪ ﺑﺮای ﺳﯿﺎل ﻧﯿﻮﺗﻨﯽ ﻣﻘﺎﯾﺴﻪ ﺷﺪ و ﻫﻤﺎﻫﻨﮕﯽ ﺧﻮﺑﯽ ﻣﺸﺎﻫﺪه ﮔﺮدﯾﺪ.

investigation of rheological behavior of suspensions included powerlaw fluid by combined latticeBoltezmann method with smoothed profile method

In the present work, we offer a novel numerical algorithm based on the lattice Boltzmann method (LBM) to consider the motion of many circular particles in a nonNewtonian power law fluid in Couette flow and it is combined with the smoothed profile method which explains the movement of particles. At first, the velocity variation of shearthickening has been analyzed and the results was compared with the numerical results of the previous works. The present study is a first report, which investigate flow behavior of circular particles with the same and different size in power law medium in Couette flow on the LBM framework. The effective viscosity of a particulate suspension that are placed randomly inside two parallel walls is considered for 0.04