In this article, we study the phase-field model of solidification for numerical simulation of dendritic crystal growth that occurs during the casting of metals and alloys. Phase-field model of solidification describes the physics of dendritic growth in any material during the process of under cooling. The numerical procedure in this work is based on finite difference scheme for space and the 4th-order Runge-Kutta method for time discretization. The effect of each physical parameter on the shape and growth of dendritic crystal is studied and visualized in detail.
This work is concerned with the influence of uniform suction or injection on unsteady incompressible Couette flow for the Eyring-Powell model. The resulting unsteady problem for horizontal velocity field is solved by means of homotopy analysis method (HAM). The characteristics of the horizontal velocity field and wall shear stress are analyzed and discussed. Pade approximants and Taylor polynomials are also found for velocity profile and are used to make the maximum error as small as possible. The graphs of the error for the Pade approximation and Taylor approximation are drawn and discussed. Convergence of the series solution is also discussed with the help of h-curve and interval of convergence is also found.
An experiment was conducted at Malakabad (Gadera) Dargai Malak and KPK to
study the effect of different levels of nitrogen and phosphorus on the yield
of maize varieties in randomize complete block design with split plot
arrangement. Different fertilization treatments (0:0, 100:0, 100:50, 100:100,
150:0, 150:50, 150:100, 150:150 N:P kg·ha-1) were assigned to main plot while, maize varieties
(Azam, Jalal and local) were kept in sub-plots. Data regarding emergence m-2, days to emergence, days to tasseling, days to
silking, number of cobs plant-1, plant height, grains cob-1, 1000-grain weight and grain yield were recorded.
Emergence m-2, days to emergence, days to tasseling, days to
silking, plant ha-1 at harvest were not significantly affected by
different levels of nitrogen and phosphorus while number of cob plant-1, thousand
An experiment was
conducted in pots under natural condition with two factor factorial completely
randomized design (CRD) (CRD) to investigate the integrated effect of rhizobia
inoculums and inorganic fertilizers on growth and yield of wheat crop at The
University of Agriculture Peshawar, during 2012-2013. The experiment was
comprised of four inoculums (no, lentil, peas and chickpeas) and two NPK levels
(recommended 120:90:60 kg·ha-1 & 20% less of
recommended). It was observed that inoculation of wheat by rhizobia
significantly increased tillers per plant by a maximum of 42%, plant height by
13%, grain per spike by 16%, 100 grain weight by 10%, biological and grain
yield by 10% over un-inoculated (control) treatment. Among inoculums, peas
inoculum was found to be the most efficient for all traits except plant height
where chickpea inoculum performed better. Similarly recommended NPK
significantly increased tillers per plant by 33%, plant height by 19%, grain
per spike by 9%, 100 grain weight by 10%, biological yield by 8% and grain
yield by 10% compared with 20% less of recommended NPK. Interactive effect of
inoculum x NPK was significant for tillers per plant, grain per spike, grain
yield and non-significant for plant height, 100 grain weight and biological
yield. However, it was evident from the results that inoculation improved all
traits both under recommended and 20% less of recommended NPK. The persistent
good performance of peas and lentil rhizobial inoculation in wheat growth
exhibited that this could be used as a plant growth promoting rhizobacteria for
wheat and other cereal crops in prevailing soil and climatic conditions.
In this paper, analysis of post-treatment of wire coating is presented. Coating material satisfies power law fluid model. Exact solutions for the velocity field, volume flow rate and average velocity are obtained. Moreover, the heat transfer results are presented for different cases of linearly varying on the boundaries. The variations of velocity, volume flow rate, radius of coated wire, shear rate and the force on the total wire are presented graphically and discussed.