Vertical structure of tropical mesoscale convective systems: observations using VHF radar and cloud resolving model simulations

This study examines the time–height variation and structure of a tropical mesoscale convective system (TMCS). Convection experiments using VHF (53 MHz) radar aimed at improving the understanding of the vertical structure of TMCS occurred over Gadanki (13.5°N, 79.2°E), India during 21–22 June 2000 has been selected for the study. The time–height variations of reflectivity and vertical velocity exhibits four distinct patterns and have been used to classify four subjectively identified types of echoes; viz., formative, mature, transition zone and stratiform regions associated with TMCS. Average vertical velocity profiles were distinctive for each region. The mean vertical motion is upward at all levels in the troposphere during the formative phase. The vertical motion in the mature region is downward in the lower troposphere and upward in the middle and upper troposphere. The maximum upward motion is found in the middle troposphere and secondary maxima near the tropopause level. The transition zone is characterized by strong downdraft in the lower troposphere with local pockets of updrafts in the middle and upper troposphere. The magnitude of the mean vertical motion is considerably reduced in the stratiform region and is downward in the lower troposphere and upward in the upper troposphere. Time–height variation of reflectivity has been analyzed separately for each region. The observed diminished echo zone and tropopause break/weakening during the mature phase and two enhanced reflectivity zone in the stratiform region is also observed. A Cloud System Resolving Model (CSRM) simulation of the same event has been carried out. The CSRM simulations were able to capture the structure of the storm and are consistent with the observations. The model output in conjunction with observations has been used to validate the hypothesis.     

Recent studies on surface water–groundwater relationships at hydro‐projects in India using environmental isotopes

Environmental isotopes (²H or D, ¹⁸O, ³H), along with geology, hydrochemistry and in situ physicochemical parameters (EC, T, DO, pH) were employed to study surface water (reservoir, lake)–groundwater (spring) relationships at (1) Nagewadi, a minor irrigation project in the State of Maharashtra, Western India; (2) Kanhirapuzha reservoir in the State of Kerala, Southern India and (3) Ghatghar Pumped Storage Hydroelectric Project in the State of Maharashtra, Western India for the purpose of understanding the seepage/leakage and its associated problems. The studies concluded that the springs found downstream of the Nagewadi project originate from the reservoir and not from the abutments or shallow aquifers. The Kanhirapuzha reservoir receives a substantial base‐flow component compared to riverine inputs. The reason for the water‐logging problem at a nearby downstream village during the non‐summer periods is due to the change in the upstream groundwater flow direction under reservoir filling conditions and is not due to reservoir leakage. Most of the springs in the approach tunnel to the underground power house of the Ghatghar Project originate from the lower reservoir and not from the upper reservoir or the overburden rock matrix. The above case studies illustrate the diversity of environmental isotope applications in surface water (reservoir, lake)–groundwater (spring) relationships related to sustainability of hydro‐projects. Copyright © 2008 John Wiley & Sons, Ltd.     

A new class of Inhomogeneous string cosmological models in general relativity

A new class of solutions of Einstein field equations has been investigated for inhomogeneous cylindrically symmetric space-time with string source. To get the deterministic solution, it has been assumed that the expansion (θ) in the model is proportional to the eigen value σ ¹  ₁ of the shear tensor σ ⁱ    _j . Certain physical and geometric properties of the models are also discussed.     

A unified picture for the γ-ray and prompt optical emissions of GRB 990123

The prompt optical emission of GRB 990123 was uncorrelated to the γ-ray light curve and exhibited temporal properties similar to those of the steeply decaying, early X-ray emission observed by Swift at the end of many bursts. These facts suggest that the optical counterpart of GRB 990123 was the large-angle emission released during (the second pulse of) the burst. If the optical and γ-ray emissions of GRB 990123 have, indeed, the same origin then their properties require that (i) the optical counterpart was synchrotron emission and γ-rays arose from inverse-Compton scatterings (the 'synchrotron self-Compton model'), (ii) the peak energy of the optical-synchrotron component was at ∼20 eV and (iii) the burst emission was produced by a relativistic outflow moving at Lorentz factor  ≳450  and at a radius  ≳10¹⁵  cm, which is comparable to the outflow deceleration radius. Because the spectrum of GRB 990123 was optically thin above 2 keV, the magnetic field behind the shock must have decayed on a length-scale of  ≲1  per cent  of the thickness of the shocked gas, which corresponds to  10⁶–10⁷  plasma skin depths. Consistency of the optical counterpart decay rate and its spectral slope (or that of the burst, if they represent different spectral components) with the expectations for the large-angle burst emission represents the most direct test of the unifying picture proposed here for GRB 990123.     

Zonal drifts of ionospheric irregularities at temperate latitude in the Indian region

The systematic time differences observed in the onset of postsunset VHF scintillations recorded simultaneously at Ujjain (Geogr. lat. 23.2^○N, Geogr. long. 75.6^○E) and Bhopal (Geogr. lat. 23.2^○N, Geogr. long. 77.6^○E), situated at the peak of the anomaly crest in the Indian region, have been analysed to determine the zonal drifts of scintillation-producing irregularities. The method is based on the assumption that the horizontal movement of irregularities does not change while crossing the F-region cross-over points of these stations. The calculated velocities of irregularities indicate an eastward drift decreasing from about 180 m s⁻¹ to 55 m s⁻¹ during the course of night. In the premidnight period, the drifts are reduced under the magnetically disturbed conditions. The average east-west extension of irregularites is found to be in the range of 200–500 km.     

On the generation of capillary-gravity waves due to two-dimensional sources

Summary With the aid of the generalized function method, a study is made of the linearized theory of transient development of capillary-gravity waves in an inviscid, incompressible and homogeneous liquid of finite and infinite depth due to an arbitrary oscillating source situated at a finite depth below the undisturbed free surface of the liquid. The initial value problem is solved by using Laplace-Fourier transforms combined with asymptotic methods. The asymptotic solution is found to consist of the steady state and the transient components which are independently modified by surface tension. The latter decays more rapidly as timet due to the presence of surface tension than in the case where surface tension is neglected. It is predicted that the principal effect of surface tension is to increase both the phase and group velocity of the waves and make the energy more readily available among the rapidly travelling progressive surface waves. In addition to the effects of surface tension on the physical properties of the wave motions, our method of solution provides an interesting illustration of the applicability of generalized functions in water wave phenomena.     

Propagation of surface waves on the surface of a non-homogeneous aeolotropic cylindrical shell

Summary The object of the present paper is to investigate the propagation of surface waves on a non-homogeneous aeolotropic cylindrical shell surrounded by vacuum. The elastic constantsc _ij (i, j=1,2...) and density of the material of the shell are assumed to be of the form and respectively, where _ij, ₀ are constants andk ₁,k ₂ are any integers.     

Paleocurrent analysis of the athgarh sandstone (upper Gondwana), Cuttack District,Orissa (India)

The Athgarh Sandstone (Upper Gondwana) of Jurassic age exposed in Orissa on the southeastern margin of India comprises almost horizontal medium- to coarse-grained pebbly sandstone interbedded with thin layers of white clay and carbonaceous shale. The cross-bedded sandstone beds within the formation display tabular cross-bedding, having an average thickness of 30 cm and average inclination of 13°. The mean foreset azimuth is 128° (nearly southeast). A total of 537 measurements of cross-beddings from 28 localities, over an area of 500 sq.km, were taken.The study of cross-bed data indicates transportation of sediments by water currents flowing in a southeasterly direction during the deposition of the Athgarh Sandstone. The mean azimuth, thickness and inclination of the cross-beds and sample variance of the area indicate a fluviatile environment of deposition. The dispersal pattern of the currents in the southeastern part of the area suggests proximity to the shore line.     

On love waves in heterogeneous media

Summary Love waves in a half space with one homogeneous elastic layer overlying a semiinfinite medium having elastic properties varying with depth has been considered. The frequency equation for small wave lengths has been obtained, considering general variation, and has been shown to involve the first three derivatives of the rigidity of the heterogeneous medium at its interface with the homogeneous layer.