Search or add a thesis

Advanced Search (Beta)
Home > Gyrotactic Bioconvection Flow of a Nanofluid Past an Uneven Surface

Gyrotactic Bioconvection Flow of a Nanofluid Past an Uneven Surface

Thesis Info

Access Option

External Link

Author

Sulaiman, Muhammad

Program

PhD

Institute

Abdul Wali Khan University

City

Mardan

Province

KPK

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12237/1/Muhammad%20Sulaiman%20maths%202019%20awk%20mardan%20prr.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726352419

Asian Research Index Whatsapp Chanel
Asian Research Index Whatsapp Chanel

Join our Whatsapp Channel to get regular updates.

Similar


In this thesis Mathematical models for Gyrotactic bioconvection are developed for diferent uids using variable surfaces. The surfaces includes Vertical Wavy surface , vertical isothermal surface and a stretching surface. The Fluids under consideration are Nano uid , dusty nano uid , Oldroyed-B uid and Maxwell uid. Some important physical quantities such as Magneto hydrodynamics , thermal radiation are included for experimental and physical analysis. Some salient physical quantities such as heat transfer and mass transfer are included for engineering process. In Chapter 01 some basic terms of , governing equations , dimensionless numbers and the methodologies which are used in later chapters are presented. Introduction , history and applications of the work is given in Chapter 02. In Chapter 03 analysis of a nano uid bioconvection ow with heat and mass transfer of a water-based nano uid containing gyrotactic microorganisms over a vertical wavy surface is investigated. The coupled nonlinear set of equations comprised of velocity, temperature, nanoparticle concentration and density of microorganisms is solved numerically by using implicit nite di erence method. Flow characteristics are obtained in terms of skin friction coe cient, Nusselt number, Sherwood number and density number of microorganisms coe cient and are presented graphically by varying several controlling parameters. Interesting observations are recorded for the parameters: Nr, Lb and Rb. It is observed that the amplitude of the wavy surface has pronounced in uence on the rates of heat and mass transfer, skin friction coe cient and density number of the microorganisms coe cient and all these quantities get augmented as the amplitude increases. The aim of present chapter 04 is to establish the detailed numerical results for bio- convection boundary-layer ow of two-phase dusty nano uid. The dusty uid contains gyrotactic microorganisms along an isothermally heated vertical wall. The physical mechanisms responsible for the slip velocity between the dusty uid and nanoparticles, such as thermophoresis and Brownian motion, are included in this study. The in uence of the dusty nano uid on heat transfer and ow characteristics are investigated in this chapter. The governing equations for two-phase model are non-dimensionalized and then solved numerically via two-pointnite di erence method together with the tri- diagonal solver. Results are presented graphically for wall skin friction coe cient, rate of heat transfer, velocity and temperature pro les and streamlines and isotherms. To ensure the accuracy, the computational results are compared with available data and are found in good agreement. The key observation from present analysis is that the mass concentration parameter, D , extensively promotes the rate of heat transfer, Qw, whereas, the wall skin friction coe cient,w, is reduced by loading the dust parameters in water based dusty nano uid. Chapter 05 discusses the three-dimensional ow the gyrotactic bioconvection of an Oldroyd-B nano uid over a stretching surface. Theory of microorganisms is utilized to stabilize the suspended nanoparticles through bioconvection induced by the e ects of buoyancy forces. Analytic solution for the governing nonlinear equations is obtained by using homotopy analysis method (HAM). The e ects of involved parameters on ve- locity, temperature, nanoparticles concentration and density of motile microorganisms are discussed graphically. The local Nusselt, Sherwood and motile micro-organisms numbers are also analyzed graphically. Several known results have been pointed out as the particular cases of the present analysis. It is found that the non-Newtonian uid parameters i.e. relaxation time parameter1 and retardation time parameter2 have opposite e ects on the velocity pro le. The velocity of the uid and boundary layer thickness decreases for increasing relaxation time while it decreases for increasing retardation time e ects. In Chapter 06 the three-dimensional ow of Maxwell nano uid containing gyro- tactic micro-organisms over a stretching surface. The e ects of magneticeld and heat source/sink are also considered. Theory of microorganisms is utilized to stabilize the suspended nanoparticles through bioconvection induced by the e ects of buoyancy forces. Analytic solution for the governing nonlinear equations is obtained by using ho- motopy analysis method (HAM). The e ects of Deborah number, Hartmann number, mixed convection parameter, buoyancy ratio parameter, bioconvection Rayeigh num- ber, stretcing ratio parameter, brownian di usion and thermophoresis di usion param- eters, Prandtl number, Schmidth number, bioconvection Lewis number, bioconvection Peclet number and the micro-organisms concentration di erence parameter on veloc- ity, temperature, nanoparticle concentration and density of motile microorganisms are discussed graphically. The local Nusselt, Sherwood and motile micro-organisms num- bers are also analyzed graphically. Several known results have been pointed out as the particular cases of the present analysis.
Loading...
Loading...

Similar Books

Loading...

Similar Chapters

Loading...

Similar News

Loading...

Similar Articles

Loading...

Similar Article Headings

Loading...

کیوں دتا ای سیاپا پا

کیوں دتا ای سیاپا پا
عشق دا کم ای صبر آزما
سن کے آمد یار سجن دی
مینوں چڑھ جاندے نے چا
جیہڑا کاں بنیرے بیٹھا
کٹ کے چوری اوہنوں پا
جوڑ کے رکھن دا کی فائدہ
پیسا ہے تاں تن تے لا
دکھاں درداں دا نہیں کوئی
اپنی پنڈ ہن آپے چا
پتھر موم کدی نہیں ہوندے
اینویں نہ توں زور آزما

منھج الشیخ السھارنفوری فی رفع الشبھات العقلیۃ: دراسۃ تحلیلیۃ فی ضوء ’’بذل المجھود‘‘ نموذج

Explanation of Hadith literature is a very significant academic contribution of Muhadditheen since the dawn of this sacred source. Sunan by Abu Dawod (d. 275 A.H.) has its well reputation in field Hadith codification and it has taken a perpetual attraction of Hadith scholars for its interpretation. Molana Saharanpuri (d.1927A.D.)is a famous sub continental Muslim scholar who contributed a voluminous interpretation titled ‘Bazl al-Majhood’ in which he comprehensively explores different aspect of Hadith. He has given an exploration of intellecttu-al solutions to various doubts and objection in very lucid way. The article has been rendered to focus on the same issue and intends to deal with the method-ology adopted by Saharanpuri while resolving the insinuations regarding Hadith literature.

Evaluation of Soil Productivity under Different Cropping Patterns on Sloppy Lands Terraces in Pothowar

Rainfed areas in general and Pothowar region in particular have great potential to meet the grain need of the country but there are certain limitations which affect the crop productivity on these areas. These include erratic rainfall, depletion of plant nutrients by soil erosion, low soil organic matter content, soil compaction on non- sloppy lands and ultimately poor soil moisture availability for crop production. The limitations can be minimized/overcome by the adoption of soil management practices such as soil conservation measures, tillage practices and reducing slopes through terracing. The sloppy lands have been converted into various types of terraces such as bench terraces and broad base terraces on which different cropping patterns are being practiced by the farmers. These patterns include Wheat-Maize and Wheat-Maize (Fodder) in Kahuta (high rainfall) area, Wheat-Millet-Fallow and Wheat-Millet-Lentil in Khairimurat (medium rainfall) area and Wheat-Fallow and Fallow-Groundnut in Pindi Gheb (low rainfall) area. The crops included in these patterns have more crop water requirement and if the drought prevails, the yields of these crops will be significantly affected. This study was conducted in two different stages. In the first stage, monitoring and evaluation work was carried out and in the second stage field experiments were performed at the selected sites to test the suitability of new cropping patterns. During survey work, experimental site were selected and soil samples were collected from these sites for the evaluation of soil fertility status, soil moisture variation throughout the year, soil microbial biomass in various seasons. In addition to this, crop yields during Rabi and Kharif seasons were recorded. The climatic data on rainfall and temperature were obtained from the meteorological department. Fertilizer application and management practices adopted by the farmer were also recorded. The collected soil samples were subjected to analyses for physico-chemical properties such as particle size analysis (soil texture), soil moisture release curve, electrical conductivity (ECe), pH of the saturated soil paste (pHs), calcareousness (CaCO3), cation exchange capacity (CEC), total organic carbon (TOC), total nitrogen, soil sodium (Na+), available potassium (K+), calcium plus magnesium (Ca+2+Mg+2), microbial biomass carbon (Cmic), microbial biomass nitrogen (Nmic) and soil enzymes (Alkaline Phosphatase and Dehydrogenase). The results showed that in September 2007, more average soil water content was available in high and medium terraces under Wheat-Miaze and Wheat-Maize (as fodder) cropping pattern in Kahuta area, in high and low terraces under Wheat-Millet- Fallow and Wheat-Millet-Lentil cropping pattern in Khairimurat and under Wheat- Fallow and Fallow-Groundnut in Pindi Gheb areas respectively. The pysico-chemical characteristics of all the sites showed that the texture of soil was sandy loam under Wheat-Maize cropping pattern, sandy clay loam under Wheat-Maize (Fodder) cropping pattern in Kahuta area, loam under Wheat-Millet- Fallow and Wheat-Millet-Lentil cropping patterns in Khairimurat area and sandy clay loam under Wheat-Fallow and Fallow-Groundnut cropping pattern in Pindi Gheb area. The results of all sites indicated that the soil was alkaline, calcareous in nature, non- saline, non-sodic, having marginal total organic carbon, total nitrogen, adequate available soil potassium but deficient in available soil phosphorus. The bench terraces of Kahuta area had more soil fertility on the low height terraces and broad base terraces of Khairimurat and Pindi Gheb area had more soil fertility on the upper and medium height terraces. The soil water release curve indicated that Dhok Tarhan soils had more plant water availability as compared to the Jagiot Khalsa, Dhupri and Kasran sites. Incubation study was conducted in the laboratory to evaluate the rate of mineralization of different organic substrates in different soil textures. The treatments tested were viz. 1) control, 2) Groundnut straw and 3) Wheat Straw (1% on soil weight basis). Soil samples were taken after 2, 4, 7, 14, 28 and 60 days for the determination of Cmic, Nmic, Pmic, DH and AP. Completely Randomized Design (CRD) along with three replications was used for this study. This study revealed that high rate of mineralization of organic amendments was on 28 days after incubation under controlled condition under various textured soils of Kahuta, Khairimurat and Pindi Gheb areas. This study indicated that incorporated groundnut straw mineralized after one month in the field for the availability of nutrients to the crops. In the second part of the study, field experiments were carried out at Kahuta, Khairimurat and Pindi Gheb areas. The existing cropping patterns were Wheat-Maize and Wheat-Maize as Fodder in Kahuta, Wheat-Millet-Lentil and Wheat-Millet-Lentil in Khairimurat and Wheat-Fallow and Fallow-Groundnut in Pindi Gheb area. In these experiments, the high kharief water requirement crops such as Maize and Millet were replaced with Mungbean having low water requirement. The modified cropping patterns viz Wheat-Mungbean at both sites in Kahuta, Wheat-Mungbean-Fallow and Wheat-Mungbean-Lentil in Khairimurat and Wheat-Mungbean and Fallow-Groundnut in Pindi Gheb area were tested. The data showed that the modified cropping patterns Gheb areas. This study indicated that incorporated groundnut straw mineralized after one month in the field for the availability of nutrients to the crops. In the second part of the study, field experiments were carried out at Kahuta, Khairimurat and Pindi Gheb areas. The existing cropping patterns were Wheat-Maize and Wheat-Maize as Fodder in Kahuta, Wheat-Millet-Lentil and Wheat-Millet-Lentil in Khairimurat and Wheat-Fallow and Fallow-Groundnut in Pindi Gheb area. In these experiments, the high kharief water requirement crops such as Maize and Millet were replaced with Mungbean having low water requirement. The modified cropping patterns viz Wheat-Mungbean at both sites in Kahuta, Wheat-Mungbean-Fallow and Wheat-Mungbean-Lentil in Khairimurat and Wheat-Mungbean and Fallow-Groundnut in Pindi Gheb area were tested. The data showed that the modified cropping patterns