I've produced the following rough maps for the track from the Black Sea through Turkey, the Middle East and Asia.
This map shows the path of the total eclipse across the Middle East, highlighted in red. A partial eclipse will be visible over the entire area. The lines parallel to the eclipse track show the size of the partial eclipse visible at various locations: 80% in Tel Aviv, etc. The lines across the eclipse track show the time of the maximum eclipse at those locations, in Universal Time: Tehran, for example, will see its maximum partial eclipse (about 94%) just before 12:00 UT.
Each of the maps below shows the path of the total eclipse as a highlighted strip; the red line shows the centre of the path of the total eclipse. A partial eclipse will be visible over a much wider area and for a much longer period. I've stated local circumstances for a sampling of towns in and near the eclipse path, taken from the NASA SDAC eclipse bulletinThe Total Solar Eclipse of 1999 August 11
Nasa's bulletin on the total solar eclipse of 11 August 1999. (NASA Goddard Space flight Center)
https://umbra.nascom.nasa.gov/eclipse/990811/rp.html.
The track crosses the Black Sea coast into northern Turkey at 11:21 UT. Bartin, on the coast, is one of the first places to see a total eclipse, at 11:21 UT, lasting for 1m40s.
On the centreline, however, the eclipse duration is still 2m19s. Kastamonu, near the centreline, is eclipsed for 2m17s at 11:24 UT; followed by Osmancik, for 2m16s, at 11:26; Amsaya and Zile, for 2m10s, and Turhal for 2m15s, all at about 11:29; and Sivas, for 2m07s, at 11:32 UT.
Farther out, Corum will be eclipsed for 1m51s at 11:27 UT; and Merzifon for 2m05s at 11:28 UT. Ankara is south of the eclipse track, and will see a maximum 97% eclipse at 11:24 UT.
As the eclipse passes on into southeast Turkey, Divrigi, close to the centreline, will be eclipsed for 2m12s, at 11:34 UT; Elazig, slightly farther off centre, for 2m04s at 11:37 UT; and Ergani, for 1m48s at 11:38 UT. Diyarbakir will be in totality for 1m20s at 11:40 UT; but Silvan, closer to the centreline, for 2m04s at 11:41 UT.
As the eclipse path crosses into Syria and Iraq, Cizre, almost on the centreline, is eclipsed for 2m06s at 11:44 UT. The centreline duration as the eclipse path leaves Turkey is down to just over 2m05s, as the eclipse shadow speeds up to 1,700 miles per hour.
Turkey will see a partial eclipse lasting from about 10:00 UT to about 12:50 UT.
The path of total eclipse cuts briefly across north-eastern Syria, and crosses northern Iraq. Zakhu is almost exactly on the centreline, and will be under total eclipse for 2m05s at 11:45 UT. Dahuk, slightly off centre, is nevertheless eclipsed for 2m03s at 11:46 UT; Al-Mawsil is near the southern edge of the path, and is only eclipsed for 30 seconds at 11:47 UT.
As the eclipse moves southeast, Irbil is eclipsed for 1m50s at 11:48 UT; Kuysanjaq for 2m01s at 11:49 UT; and As-Sulaymaniyah for 1m56s at 11:51 UT. As the path crosses into Iran, Halabjah is eclipsed for 1m48s at 11:52 UT. Kirkuk is close to the path, and will see a maximum 99%+ eclipse at 11:50 UT. The centreline duration at this time is 2m01s.
The partial eclipse in north Iraq will last from about 10:27 UT to about 13:03 UT.
As the eclipse passes into Iran, the centreline duration drops below 2 minutes. Marivan is eclipsed for 1m51s at 11:52 UT; and Sanandaj for 1m15s at 11:53 UT. This is followed by Bakhtaran, for 53 seconds, at 11:55 UT; and Borujerd, close to the centreline, eclipsed for 1m53s at 11:58 UT.
By 12:00 UT the centreline duration has dropped to 1m51s, and the Moon's shadow is once again moving at 2,000 miles per hour. Homayunshahr is eclipsed for 1m39s, at 12:03 UT; Shahreza for 1m34s at 12:05 UT; Rafsanjan for 1m20s at 12:11 UT; Mashiz for 1m33s at 12:12 UT; and Bam for 1m26s at 12:15 UT. By this time, the eclipse shadow is moving at 2,600 miles per hour; the centreline duration is falling rapidly now, and down to 1m33s.
The partial eclipse in Iran will start at around 10:27 - 11:00 UT (depending on location), and end at around 13:03 - 13:20 UT.
This map shows the path of the total eclipse across Asia, highlighted in red. A partial eclipse will be visible over the entire area. The lines parallel to the eclipse track show the size of the partial eclipse visible at various locations.
The total eclipse track passes through south-western Pakistan, cutting across the Arabian Sea. Eclipse durations are getting significantly shorter by this time: nevertheless, the eclipse will still be exciting viewing, if the weather allows it! Unfortunately, with the Monsoon close to full blast, the chance of clear skies is pretty slim.
Hoshab will be eclipsed for 01m14s at 12:23 UT; Kandrach for 01m18s at 12:25 UT; Karachi for 01m13s at 12:26 UT; and Gharo for 01m06s at 12:28 UT. The total eclipse on the centerline will be moving at around 4,000 miles per hour, lasting for around 1m17s.
The eclipse track then crosses from Pakistan into India, close to local sunset. Lakhpat, in India, is eclipsed for 1m01s, at 12:28 UT; and Dhrangadhra, for 1m05s, at 12:30 UT; the centreline duration is now 1m07s, with the shadow flashing past at over 5,300 miles per hour. Surendranagar is eclipsed for 1m02s, and Nadiad, for 25 seconds, both at 12:31 UT.
The partial eclipse in Pakistan and western India will begin at around 11:20 UT, and end at around 13:27 UT.
As the track crosses the sub-continent, the shadow is moving very quickly, the Sun is close to setting, and eclipse durations are dropping sharply. Unfortunately, the chance of clear skies is dropping faster, down to as low as 5%.
Yaval is eclipsed for 56 seconds, at 12:33 UT; Murtajapur, for 55 seconds, at 12:34 UT; Jagdalpur, for 49 seconds, at 12:35 UT; and Jeypore, close to the centre of the eclipse track, for 46 seconds at 12:35 UT. One of the last places on land to see a total eclipse will be Srikakulam, near the bay of Bengal, for 25 seconds at 12:36 UT; the centreline duration will be 42 seconds.
Finally, the eclipse finishes in the Bay of Bengal, at local sunset, 12:36:23 UT.
Eastern India will see a partial eclipse starting at about 11:30 UT, and lasting until the Moon's shadow finally leaves the Earth at sunset.